{"id":1091,"date":"2022-04-14T05:50:32","date_gmt":"2022-04-14T05:50:32","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1091"},"modified":"2024-05-29T20:26:48","modified_gmt":"2024-05-29T20:26:48","slug":"prime-number-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/prime-number","title":{"rendered":"Prime Numbers &#8211; Definition, Chart, Examples, Practice Problems"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-a49a54b9-5010-473f-8119-b482a1e41256\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/prime-number#0-what-are-prime-numbers>What Are Prime Numbers?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/prime-number#4-difference-between-prime-number-and-composite-number>Difference Between Prime Number and Composite Number<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/prime-number#6-how-to-find-prime-numbers>How to Find Prime Numbers<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/prime-number#11-solved-examples-on-prime-numbers>Solved Examples on Prime Numbers<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/prime-number#12-practice-problems-on-prime-numbers>Practice Problems on Prime Numbers<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/prime-number#13-f-requently-asked-questions-on-prime-numbers>Frequently Asked Questions on Prime Numbers<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-are-prime-numbers\">What Are Prime Numbers?<\/h2>\n\n\n\n<p><strong>Prime numbers are numbers greater than 1 that only have two factors, 1 and the number itself.<\/strong> This means that a prime number is only divisible by 1 and itself. If you divide a prime number by a number other than 1 and itself, you will get a non-zero remainder.<\/p>\n\n\n\n<p>Numbers that have more than 2 factors (but finite number of factors) are known as <strong><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/composite-number\" target=\"_blank\" rel=\"noopener\" title=\"\">composite numbers<\/a><\/strong>.<\/p>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/10-and-100-more-than-the-same-number\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_1_10_100_more_same_num_pt.png\" alt=\"10 and 100 More than the Same Number Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">10 and 100 More than the Same Number Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-1-digit-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_add_make_10_pt.png\" alt=\"Add 1-Digit Numbers Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 1-Digit Numbers Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-10-to-a-3-digit-number\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_10_number_pt.png\" alt=\"Add 10 to a 3-Digit Number Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 10 to a 3-Digit Number Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-100-to-a-3-digit-number\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_100_horizontal_pt.png\" alt=\"Add 100 to a 3-Digit Number Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 100 to a 3-Digit Number Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-2-digit-and-1-digit-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_2d_1d_match_pt.png\" alt=\"Add 2-Digit and 1-Digit Numbers Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 2-Digit and 1-Digit Numbers Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-2-digit-numbers-by-regrouping\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_regrp_2d_2d_vertical_pt.png\" alt=\"Add 2-Digit Numbers By Regrouping Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 2-Digit Numbers By Regrouping Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-3-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_add_3_no_pt.png\" alt=\"Add 3 Numbers Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 3 Numbers Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-3-numbers-in-any-order\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_shifty_bridges_4_gm.png\" alt=\"Add 3 Numbers in Any Order Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 3 Numbers in Any Order Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-3-numbers-using-groups-of-objects\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_add_using_model_pt.png\" alt=\"Add 3 Numbers Using Groups of Objects Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 3 Numbers Using Groups of Objects Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-3-numbers-using-model\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_add_3_no_using_models_pt.png\" alt=\"Add 3 Numbers using Model Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 3 Numbers using Model Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"1-prime-numbers-definition\">Prime Numbers Definition<\/h2>\n\n\n\n<p><strong>A prime number can be defined as a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/natural-numbers\" target=\"_blank\" rel=\"noopener\" title=\"\">natural number<\/a> greater than 1 whose only factors are 1 and the number itself.&nbsp;<\/strong><\/p>\n\n\n\n<p>A prime number is a positive integer greater than 1 that cannot be written as a product of two distinct integers which are greater than 1.<\/p>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/10-and-100-more-than-a-3-digit-number\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/10-and-100-more-than-a-3-digit-number.jpeg\" alt=\"10 and 100 More than a 3-digit Number\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/100-more-and-100-less-than-a-3-digit-number\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/100-more-and-100-less-than-a-3-digit-number.jpeg\" alt=\"100 More and 100 Less than a 3-digit Number\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/100-more-than-a-3-digit-number\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/100-more-than-a-3-digit-number.jpeg\" alt=\"100 More than a 3-digit Number\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-subtract-ones-2-digit-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-subtract-ones-2-digit-numbers.jpeg\" alt=\"Add & Subtract Ones & 2-Digit Numbers Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-and-find-the-sum\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-and-find-the-sum.jpeg\" alt=\"Add 1 Digit and 3 Digit Numbers and Find the Sum\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-and-match-the-sum\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-and-match-the-sum.jpeg\" alt=\"Add 1 Digit and 3 Digit Numbers and Match the Sum\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-using-addition-tables\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-using-addition-tables.jpeg\" alt=\"Add 1 Digit and 3 Digit Numbers Using Addition Tables\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-using-addition-wheel\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-using-addition-wheel.jpeg\" alt=\"Add 1 Digit and 3 Digit Numbers Using Addition Wheel\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-using-number-charts\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-using-number-charts.jpeg\" alt=\"Add 1 Digit and 3 Digit Numbers Using Number Charts\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-using-place-value\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-using-place-value.jpeg\" alt=\"Add 1 Digit and 3 Digit Numbers Using Place Value\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = 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});\n    <\/script><h2 class=\"wp-block-heading\" id=\"2-examples-and-non-examples-of-prime-numbers\">Examples and Non-examples of Prime Numbers<\/h2>\n\n\n\n<figure class=\"wp-block-table wj-custom-table\"><table class=\"wj-table-class\"><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/04\/prime-numbre-table.png\" alt=\"factors of 7\" style=\"width: 50px;\"><\/td><td class=\"has-text-align-center\" data-align=\"center\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/06\/prime-numbre-table-1.png\" alt=\"factors of 6\" style=\"width: 80px;\"><\/td><td class=\"has-text-align-center\" data-align=\"center\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/04\/prime-numbre-table-2.png\" alt=\"the only factor of 1 is 1\" style=\"width: 15px;\"><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">7 is a prime number.<br>7 has only two factors, 1 and 7.<\/td><td class=\"has-text-align-center\" data-align=\"center\">6 is NOT a prime number.<br>6 has four factors (1, 2, 3, and 6).<br>6 is a composite number.<\/td><td class=\"has-text-align-center\" data-align=\"center\">1 is neither prime nor composite.<br>1 has only one factor, which is 1 itself.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-properties-of-prime-numbers\">Properties of Prime Numbers<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Prime numbers are natural numbers greater than 1.<\/li>\n\n\n\n<li>2 is the smallest prime number.<\/li>\n\n\n\n<li>2 is the only even prime number. All the prime numbers except 2 are odd.<\/li>\n\n\n\n<li>Any two prime numbers are always coprime.<\/li>\n\n\n\n<li>Any composite number can be uniquely expressed as the product of its prime factors.&nbsp;<\/li>\n\n\n\n<li>A prime number has only two factors $\u2014 1$ and the number itself.<\/li>\n\n\n\n<li>If two prime numbers have only 1 composite number between them, they are called twin-prime numbers.<\/li>\n\n\n\n<li>Every even positive integer greater than 2 can be written as the sum of two prime numbers.<\/li>\n\n\n\n<li>Every positive integer greater than 1 has at least one prime factor.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-difference-between-prime-number-and-composite-number\">Difference Between Prime Number and Composite Number<\/h2>\n\n\n\n<figure class=\"wp-block-table wj-custom-table\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-left\" data-align=\"left\">                              <strong>Prime Number<\/strong><\/th><th class=\"has-text-align-left\" data-align=\"left\">                          <strong>Composite Number<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\">A prime number is a natural number greater than 1 that has only two factors &#8211; 1 and the number itself.<\/td><td class=\"has-text-align-left\" data-align=\"left\">A composite number is a natural number or a positive integer that has more than 2 factors.<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">A prime number is divisible only by 1 and the number itself. For example, 3 is divisible only by 1 and 3.<\/td><td class=\"has-text-align-left\" data-align=\"left\">A composite number is divisible by all its factors. For example, 12 is divisible by 1, 2, 3, 4, 6, and 12.<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">2 is the smallest prime number.<\/td><td class=\"has-text-align-left\" data-align=\"left\">4 is the smallest composite number.<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">A prime number cannot be written as the product of two distinct positive integers.<\/td><td class=\"has-text-align-left\" data-align=\"left\">A composite number can be written as the product of two smaller positive integers.<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Examples: 2, 3, 5, 7, etc.<\/td><td class=\"has-text-align-left\" data-align=\"left\">Examples: 4, 6, 8, 9, etc.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-the-sieve-of-eratosthenes\">The Sieve of Eratosthenes<\/h2>\n\n\n\n<p>In the third century B.C. the Greek mathematician, Eratosthenes, found a very simple method of finding the prime numbers.&nbsp;<\/p>\n\n\n\n<p>Follow the given steps to identify the prime numbers between 1 and 100.<\/p>\n\n\n\n<p><strong>Step 1:<\/strong> Make a hundreds chart. (Write all the natural numbers between 1 to 100 using 10 rows and 10 columns.)<\/p>\n\n\n\n<p><strong>Step 2: <\/strong>Leave 1 as it is neither a prime number nor composite number.<\/p>\n\n\n\n<p><strong>Step 3: <\/strong>Encircle 2 and cross out all its multiples (such as 4, 6, 8, 10, and so on) as they are not prime.&nbsp;<\/p>\n\n\n\n<p><strong>Step 4: <\/strong>Encircle the next uncrossed number which is 3 and cross out all its <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication\/multiple\" target=\"_blank\" rel=\"noopener\" title=\"\">multiples<\/a>. Ignore the previously crossed out numbers like 6, 12 and 18 and so on.<\/p>\n\n\n\n<p><strong>Step 5:<\/strong> Continue the process of encircling the next uncrossed number and crossing out its multiples till all the numbers in the table are either encircled or crossed except 1.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"682\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/06\/prime-numbre-table-2.webp\" alt=\"The Sieve of Eratosthenes\" class=\"wp-image-30012\" title=\"The Sieve of Eratosthenes\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/06\/prime-numbre-table-2.webp 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/06\/prime-numbre-table-2-300x300.webp 300w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/06\/prime-numbre-table-2-150x150.webp 150w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/06\/prime-numbre-table-2-250x250.webp 250w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/06\/prime-numbre-table-2-120x120.webp 120w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<p>So, from the table it is clear that 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 are the prime numbers.&nbsp;<\/p>\n\n\n\n<p>There are 25 prime numbers between 1 and 100.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-how-to-find-prime-numbers\">How to Find Prime Numbers<\/h2>\n\n\n\n<p>1) Every prime number (except 2 and 3) can be written in the form of 6n + 1 or 6n &#8211; 1.<\/p>\n\n\n\n<p>To check whether a given number is prime or not, you can simply check if it can be written in the form $6n + 1$ or $6n \\;-\\; 1$.<\/p>\n\n\n\n<p><strong>Examples:<\/strong> 13 can be expressed as $6(2) + 1$. Thus, 13 is a prime number.<\/p>\n\n\n\n<p>$6(1) \\;\u2013\\; 1 = 5$<\/p>\n\n\n\n<p>$6(1) + 1 = 7$<\/p>\n\n\n\n<p>$6(2)\\; \u2013\\; 1 = 11$<\/p>\n\n\n\n<p>$6(2) + 1 = 13$<\/p>\n\n\n\n<p>$6(3) \\;\u2013\\; 1 = 17$<\/p>\n\n\n\n<p>$6(3) + 1 = 19$<\/p>\n\n\n\n<p>(Note that we do not consider the multiples of prime numbers when we use this method. For example, 25 and 49 can be written as $25 = 6(4) + 1,\\;&nbsp; 49 = 6(8) \\;-\\; 1$, but they are not prime numbers.)<\/p>\n\n\n\n<p>2) To find the prime numbers greater than 40, we can use this method.<\/p>\n\n\n\n<p>If we can express a number greater than 40 in the form $n^{2} + n + 41$, where $n = 0,\\; 1,\\; 2,\\; \u2026..,\\; 39$, then it is a prime number.<\/p>\n\n\n\n<p><strong>Examples:<\/strong><\/p>\n\n\n\n<p>$(0)^{2} + 0 + 0 = 41$<\/p>\n\n\n\n<p>$(1)^{2} + 1 + 41 = 43$<\/p>\n\n\n\n<p>$(3)^{2} + 3 + 41 = 53$<\/p>\n\n\n\n<p>3) You can use the factorization method and find the number of factors the number has. If it has 2 unique factors &#8211; 1 and itself, it is a prime number. Otherwise, it is composite.&nbsp;<\/p>\n\n\n\n<p>For example, to find the factors of n, divide n by each natural number up to n. If the remainder is 0, it is a factor.<\/p>\n\n\n\n<figure class=\"wp-block-table wj-custom-table\"><table class=\"wj-table-class\"><thead><tr><th><strong>Prime number<\/strong><\/th><th><strong>Not a prime number<\/strong><\/th><\/tr><\/thead><tbody><tr><td>$13 \\div 1 = 13$ and Remainder $= 0$<br>$13 \\div 13 = 1$ and Remainder $= 0$&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<\/td><td>$4 \\div 1 = 1$ and Remainder $= 0$ ..factor<br>$4 \\div 2 = 2$ and Remainder $= 0$ ..factor<br>$4 \\div 3 = 1$ and Remainder $= 1$<br>$4 \\div 4 = 1$ and Remainder $= 0$ ..factor<br>Thus, 4 has 3 factors (1, 2, and 4). It is not a prime number.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-co-prime-numbers-and-twin-prime-numbers\">Co-Prime Numbers and Twin Prime Numbers<\/h2>\n\n\n\n<p><strong>Co-Primes: <\/strong>Two numbers are said to be co-primes if they have only 1 common factor, that is, 1. It is not necessary for these numbers to be prime numbers. For example, 9 and 10 are <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/coprime-number\" target=\"_blank\" rel=\"noopener\" title=\"\">co-primes<\/a>. Let\u2019s verify.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"246\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/06\/prime-numbre.png\" alt=\"finding common factors of 9 and 10 using factor tree\" class=\"wp-image-30014\" title=\"finding common factors of 9 and 10 using factor tree\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/06\/prime-numbre.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/06\/prime-numbre-300x109.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<p>Note that any two prime numbers are always co-prime. This is because out of their two factors, the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/common-factor\" target=\"_blank\" rel=\"noopener\" title=\"\">common factor<\/a> can only be 1. So, (3, 5), (11, 19) are some examples of co-primes.<\/p>\n\n\n\n<p><strong>Twin-Primes: <\/strong>A pair of prime numbers are known as twin primes if there is only one composite number between them. For example, (3, 5), (5, 7), (11, 13), (17, 19), etc.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-prime-numbers-list\">Prime Numbers List<\/h2>\n\n\n\n<p>Take a look at the \u2018prime numbers charts\u2019 and check out the organized lists of prime numbers in the given range.<\/p>\n\n\n\n<p><strong>List of Prime Numbers between 1 and 100<\/strong><\/p>\n\n\n\n<p>There are 25 prime numbers between 1 and 100.<\/p>\n\n\n\n<p>Prime numbers between 1 to 100 are as follows:<\/p>\n\n\n\n<p>2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97<\/p>\n\n\n\n<figure class=\"wp-block-table wj-custom-table\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-left\" data-align=\"left\" colspan=\"2\"><strong>Prime Numbers 1-100<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\">Prime numbers between 1 and 10<\/td><td>2, 3, 5, 7<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Prime numbers between 10 and 20<\/td><td>11, 13, 17, 19<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Prime numbers between 20 and 30<\/td><td>23, 29<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Prime numbers between 30 and 40<\/td><td>31, 37<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Prime numbers between 40 and 50<\/td><td>41, 43, 47<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Prime numbers between 50 and 60<\/td><td>53, 59<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Prime numbers between 60 and 70<\/td><td>61, 67<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Prime numbers between 70 and 80<\/td><td>71, 73, 79<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Prime numbers between 80 and 90<\/td><td>83, 89<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Prime numbers between 90 and 100<\/td><td>97<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>List of Prime Numbers between 1 and 200<\/strong><\/p>\n\n\n\n<p>There are 46 prime numbers between 1 and 200.<\/p>\n\n\n\n<figure class=\"wp-block-table wj-custom-table\"><table class=\"wj-table-class\"><tbody><tr><td>2<\/td><td>3<\/td><td>5<\/td><td>7<\/td><td>11<\/td><td>13<\/td><td>17<\/td><td>19<\/td><td>23<\/td><\/tr><tr><td>29<\/td><td>31<\/td><td>37<\/td><td>41<\/td><td>43<\/td><td>47<\/td><td>53<\/td><td>59<\/td><td>61<\/td><\/tr><tr><td>67<\/td><td>71<\/td><td>73<\/td><td>79<\/td><td>83<\/td><td>89<\/td><td>97<\/td><td>101<\/td><td>103<\/td><\/tr><tr><td>107<\/td><td>109<\/td><td>113<\/td><td>127<\/td><td>131<\/td><td>137<\/td><td>139<\/td><td>149<\/td><td>151<\/td><\/tr><tr><td>157<\/td><td>163<\/td><td>167<\/td><td>173<\/td><td>179<\/td><td>181<\/td><td>191<\/td><td>193<\/td><td>197<\/td><\/tr><tr><td>199<\/td><td><\/td><td><\/td><td><\/td><td><\/td><td><\/td><td><\/td><td><\/td><td><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>List of Prime Numbers between 1 and 1000<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table wj-custom-table\"><table class=\"wj-table-class\"><thead><tr><th><strong>Prime Numbers Between<\/strong><\/th><th><strong>List of Prime Numbers<\/strong><\/th><th style=\"white-space: nowrap;\"><strong>Total<\/strong><\/th><\/tr><\/thead><tbody><tr><td>1 to 100<\/td><td>2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97<\/td><td>25&nbsp;<\/td><\/tr><tr><td>101-200<\/td><td>101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199<\/td><td>21<\/td><\/tr><tr><td>201-300<\/td><td>211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293<\/td><td>16&nbsp;<\/td><\/tr><tr><td>301-400<\/td><td>307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397<\/td><td>16&nbsp;<\/td><\/tr><tr><td>401-500<\/td><td>401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499<\/td><td>17&nbsp;<\/td><\/tr><tr><td>501-600<\/td><td>503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599<\/td><td>14<\/td><\/tr><tr><td>601-700<\/td><td>601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691<\/td><td>16&nbsp;<\/td><\/tr><tr><td>701-800<\/td><td>701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797<\/td><td>14&nbsp;<\/td><\/tr><tr><td>801-900<\/td><td>809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887<\/td><td>15&nbsp;<\/td><\/tr><tr><td>901-1000<\/td><td>907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997<\/td><td>14&nbsp;<\/td><\/tr><tr><td colspan=\"3\"><strong>Total number of prime numbers between 1 to&nbsp;<\/strong>$1000 = 168$<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-facts-about-prime-numbers\">Facts about Prime Numbers<\/h2>\n\n\n\n<div style=\"color:#0369a1;background-color:#e0f2fe\" class=\"wp-block-roelmagdaleno-callout-block has-text-color has-background is-layout-flex wp-container-roelmagdaleno-callout-block-is-layout-8cf370e7 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"wp-block-list\">\n<li>2 is the smallest prime number.<\/li>\n\n\n\n<li>2 is the only prime number which is even.<\/li>\n\n\n\n<li>2 and 3 are the only consecutive prime numbers.<\/li>\n\n\n\n<li>Except for 0 and 1, a whole number is either a prime number or a composite number.<\/li>\n\n\n\n<li>No prime number greater than 5 ends in a 5.<\/li>\n\n\n\n<li>Sieve of Eratosthenes is one of the earliest methods of finding prime numbers.<\/li>\n\n\n\n<li>Prime numbers get more rare as the number gets bigger.<\/li>\n\n\n\n<li>There is no largest prime number. The largest known prime number (as of September 2021) is $2^{82,589,933} \\;\u2212\\; 1$, a number which has 24,862,048 digits when written in base 10. By the time you read this it may be even larger.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"10-conclusion\">Conclusion<\/h2>\n\n\n\n<p>In this article, we learned about prime numbers, their properties, methods to find prime numbers, and different lists of prime numbers. Let\u2019s solve a few examples and practice problems based on these concepts for better understanding.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"11-solved-examples-on-prime-numbers\">Solved Examples on Prime Numbers<\/h2>\n\n\n\n<p><strong>Example 1: Classify the given numbers as prime numbers or composite numbers.<\/strong><\/p>\n\n\n\n<p><strong>13, 48, 49, 23, 74, 80, 71, 59, 45, 47<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table wj-custom-table\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-center\" data-align=\"center\"><strong>Prime Numbers<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>Composite Numbers<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">13, 23, 71, 59, 47<\/td><td class=\"has-text-align-center\" data-align=\"center\">48, 49, 74, 80, 45<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Example 2: Express 21 as the sum of two prime numbers.<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>We can write 21 as<\/p>\n\n\n\n<p>$21 = 19 + 2$<\/p>\n\n\n\n<p>Here, 2 and 19 are both prime numbers.<\/p>\n\n\n\n<p><strong>Example 3: What prime numbers are there between 20 and 30?<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>The prime numbers between 20 and 30 are 23 and 29.<\/p>\n\n\n\n<p><strong>Example 4: What is the greatest prime number between 80 and 90?<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>The prime numbers between 80 and 90 are 83 and 89.<\/p>\n\n\n\n<p>So, 89 is the greatest prime number between 80 and 90.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"12-practice-problems-on-prime-numbers\">Practice Problems on Prime Numbers<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Prime Numbers<\/h2><p style=\"display:none;\">Attend this Quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Which of the following is not a prime number?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">83<\/div><div class=\"spq_answer_block\" data-value=\"1\">61<\/div><div class=\"spq_answer_block\" data-value=\"2\">71<\/div><div class=\"spq_answer_block\" data-value=\"3\">81<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 81<br\/>The factors of 81 are 1, 3, 9, 27, and 81. Rest of the numbers have only 2 factors\u2014 1 and the number itself.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">What is the 10<sup>th<\/sup> prime number?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">23<\/div><div class=\"spq_answer_block\" data-value=\"1\">29<\/div><div class=\"spq_answer_block\" data-value=\"2\">31<\/div><div class=\"spq_answer_block\" data-value=\"3\">37<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 29<br\/>2, 3, 5, 7, 11, 13, 17, 19 and 23 are the first 9 prime numbers and 29 is the 10th prime number.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">How many prime numbers are there between 40 and 50?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">1<\/div><div class=\"spq_answer_block\" data-value=\"1\">2<\/div><div class=\"spq_answer_block\" data-value=\"2\">3<\/div><div class=\"spq_answer_block\" data-value=\"3\">4<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 3<br\/>Prime numbers between 40 and 50 are 41, 43 and 47.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">Which is the smallest odd prime number?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">1<\/div><div class=\"spq_answer_block\" data-value=\"1\">2<\/div><div class=\"spq_answer_block\" data-value=\"2\">3<\/div><div class=\"spq_answer_block\" data-value=\"3\">5<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 3<br\/>2 is the smallest even prime number. Next prime number is 3, so 3 is the smallest odd prime number.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">Which of the following pairs of numbers are co-prime?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">(7, 14)<\/div><div class=\"spq_answer_block\" data-value=\"1\">(15, 27)<\/div><div class=\"spq_answer_block\" data-value=\"2\">(25, 35)<\/div><div class=\"spq_answer_block\" data-value=\"3\">(8, 55)<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: (8, 55)<br\/>Co-prime numbers have only 1 as their common factor.<br>\r\nCommon factors of 7 and 14 are 1 and 7;<br>\r\nCommon factors of 15 and 27 are 1 and 3;<br>\r\nCommon factors of 25 and 35 are 1 and 5;<br>\r\nCommon factor of 8 and 55 is 1.<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this Quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Prime Numbers\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Prime Numbers\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following is not a prime number?\",\n                    \"text\": \"Which of the following is not a prime number?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The factors of 81 are 1, 3, 9, 27, and 81. 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Rest of the numbers have only 2 factors\u2014 1 and the number itself.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"61\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The factors of 81 are 1, 3, 9, 27, and 81. Rest of the numbers have only 2 factors\u2014 1 and the number itself.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"71\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The factors of 81 are 1, 3, 9, 27, and 81. Rest of the numbers have only 2 factors\u2014 1 and the number itself.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"81\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The factors of 81 are 1, 3, 9, 27, and 81. Rest of the numbers have only 2 factors\u2014 1 and the number itself.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The factors of 81 are 1, 3, 9, 27, and 81. Rest of the numbers have only 2 factors\u2014 1 and the number itself.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the 10<sup>th<\/sup> prime number?\",\n                    \"text\": \"What is the 10<sup>th<\/sup> prime number?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"2, 3, 5, 7, 11, 13, 17, 19 and 23 are the first 9 prime numbers and 29 is the 10th prime number.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"23\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"2, 3, 5, 7, 11, 13, 17, 19 and 23 are the first 9 prime numbers and 29 is the 10th prime number.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"31\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"2, 3, 5, 7, 11, 13, 17, 19 and 23 are the first 9 prime numbers and 29 is the 10th prime number.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"37\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"2, 3, 5, 7, 11, 13, 17, 19 and 23 are the first 9 prime numbers and 29 is the 10th prime number.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"29\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"2, 3, 5, 7, 11, 13, 17, 19 and 23 are the first 9 prime numbers and 29 is the 10th prime number.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"2, 3, 5, 7, 11, 13, 17, 19 and 23 are the first 9 prime numbers and 29 is the 10th prime number.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"How many prime numbers are there between 40 and 50?\",\n                    \"text\": \"How many prime numbers are there between 40 and 50?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Prime numbers between 40 and 50 are 41, 43 and 47.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Prime numbers between 40 and 50 are 41, 43 and 47.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"2\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Prime numbers between 40 and 50 are 41, 43 and 47.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"4\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Prime numbers between 40 and 50 are 41, 43 and 47.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"3\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Prime numbers between 40 and 50 are 41, 43 and 47.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Prime numbers between 40 and 50 are 41, 43 and 47.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which is the smallest odd prime number?\",\n                    \"text\": \"Which is the smallest odd prime number?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"2 is the smallest even prime number. Next prime number is 3, so 3 is the smallest odd prime number.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"2 is the smallest even prime number. 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Next prime number is 3, so 3 is the smallest odd prime number.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"5\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"2 is the smallest even prime number. 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                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"(7, 14)\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Co-prime numbers have only 1 as their common factor.<br>\r\nCommon factors of 7 and 14 are 1 and 7;<br>\r\nCommon factors of 15 and 27 are 1 and 3;<br>\r\nCommon factors of 25 and 35 are 1 and 5;<br>\r\nCommon factor of 8 and 55 is 1.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"(15, 27)\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Co-prime numbers have only 1 as their common factor.<br>\r\nCommon factors of 7 and 14 are 1 and 7;<br>\r\nCommon factors of 15 and 27 are 1 and 3;<br>\r\nCommon factors of 25 and 35 are 1 and 5;<br>\r\nCommon factor of 8 and 55 is 1.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"(25, 35)\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Co-prime numbers have only 1 as their common factor.<br>\r\nCommon factors of 7 and 14 are 1 and 7;<br>\r\nCommon factors of 15 and 27 are 1 and 3;<br>\r\nCommon factors of 25 and 35 are 1 and 5;<br>\r\nCommon factor of 8 and 55 is 1.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"(8, 55)\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Co-prime numbers have only 1 as their common factor.<br>\r\nCommon factors of 7 and 14 are 1 and 7;<br>\r\nCommon factors of 15 and 27 are 1 and 3;<br>\r\nCommon factors of 25 and 35 are 1 and 5;<br>\r\nCommon factor of 8 and 55 is 1.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Co-prime numbers have only 1 as their common factor.<br>\r\nCommon factors of 7 and 14 are 1 and 7;<br>\r\nCommon factors of 15 and 27 are 1 and 3;<br>\r\nCommon factors of 25 and 35 are 1 and 5;<br>\r\nCommon factor of 8 and 55 is 1.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"13-f-requently-asked-questions-on-prime-numbers\"><strong>F<\/strong>requently Asked Questions on Prime Numbers<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-bdde9f81-8e8b-46b2-973d-225b88c8786b\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-bdde9f81-8e8b-46b2-973d-225b88c8786b\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-bdde9f81-8e8b-46b2-973d-225b88c8786b\"><strong><strong>Is 1 a prime number?<\/strong><\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-bdde9f81-8e8b-46b2-973d-225b88c8786b\">\n\n<p class=\"eplus-wrapper\">No, 1 is neither a prime number nor a composite number.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-bdde9f81-8e8b-46b2-973d-225b88c8786b\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-bdde9f81-8e8b-46b2-973d-225b88c8786b\"><strong><strong>Can a prime number be negative?<\/strong><\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-bdde9f81-8e8b-46b2-973d-225b88c8786b\">\n\n<p class=\"eplus-wrapper\">No, prime numbers cannot be negative. Prime numbers are natural numbers greater than 1.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-bdde9f81-8e8b-46b2-973d-225b88c8786b\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-bdde9f81-8e8b-46b2-973d-225b88c8786b\"><strong><strong>Why is 2 the only even prime number?<\/strong><\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-bdde9f81-8e8b-46b2-973d-225b88c8786b\">\n\n<p class=\"eplus-wrapper\">All even numbers larger than 2 are multiple of 2. So, 2 is the only even prime number.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-bdde9f81-8e8b-46b2-973d-225b88c8786b\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-bdde9f81-8e8b-46b2-973d-225b88c8786b\"><strong><strong>What is the difference between prime numbers and co-prime numbers?<\/strong><\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-bdde9f81-8e8b-46b2-973d-225b88c8786b\">\n\n<p class=\"eplus-wrapper\">A prime number is a natural number greater than 1 that has only two factors &#8211; 1 and the number itself. A pair of numbers whose HCF is 1 (the only common factor is 1) are called co-prime numbers.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-4-bdde9f81-8e8b-46b2-973d-225b88c8786b\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-bdde9f81-8e8b-46b2-973d-225b88c8786b\"><strong><strong>Which is the largest known prime number?<\/strong><\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-4-bdde9f81-8e8b-46b2-973d-225b88c8786b\">\n\n<p class=\"eplus-wrapper\">The largest known prime number (as of September 2021) is 2<sup>82,589,933<\/sup> \u2212 1, a number which has 24,862,048 digits. By the time you read this it may be even larger than this.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-5-bdde9f81-8e8b-46b2-973d-225b88c8786b\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-bdde9f81-8e8b-46b2-973d-225b88c8786b\"><strong>What is the lowest prime number?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-5-bdde9f81-8e8b-46b2-973d-225b88c8786b\">\n\n<p>The smallest prime number is 2.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-6-bdde9f81-8e8b-46b2-973d-225b88c8786b\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-bdde9f81-8e8b-46b2-973d-225b88c8786b\"><strong>What makes a number prime?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-6-bdde9f81-8e8b-46b2-973d-225b88c8786b\">\n\n<p>If a number has only two factors (1 and itself), it is a prime number. If it has more than two factors, it is composite.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-7-bdde9f81-8e8b-46b2-973d-225b88c8786b\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-bdde9f81-8e8b-46b2-973d-225b88c8786b\"><strong>How to check if a number is prime?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-7-bdde9f81-8e8b-46b2-973d-225b88c8786b\">\n\n<p>Find the factors of the given number. Check the number of factors. If there are more than 2 factors, the number is not prime. If there are only two factors (1 and number itself), the number is prime.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-8-bdde9f81-8e8b-46b2-973d-225b88c8786b\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-bdde9f81-8e8b-46b2-973d-225b88c8786b\"><strong>What are the first ten prime numbers?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-8-bdde9f81-8e8b-46b2-973d-225b88c8786b\">\n\n<p>The first ten prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-9-bdde9f81-8e8b-46b2-973d-225b88c8786b\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-bdde9f81-8e8b-46b2-973d-225b88c8786b\"><strong>Why 0 and 1 are neither prime nor composite?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-9-bdde9f81-8e8b-46b2-973d-225b88c8786b\">\n\n<p>Any number multiplied by 0 results in 0. So, 0 has infinitely many factors. However, a composite number can have only a finite number of factors. Also, $0 \\lt 1$ and prime numbers are natural numbers greater than 1.<\/p>\n\n\n\n<p>1 has only 1 factor, itself. So, 0 and 1 do not fit into the definitions of prime &amp; composite numbers.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-10-bdde9f81-8e8b-46b2-973d-225b88c8786b\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-bdde9f81-8e8b-46b2-973d-225b88c8786b\"><strong>What is the total number of prime numbers up to 100?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-10-bdde9f81-8e8b-46b2-973d-225b88c8786b\">\n\n<p>There are 25 prime numbers between 1 and 100.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>What Are Prime Numbers? Prime numbers are numbers greater than 1 that only have two factors, 1 and the number itself. This means that a prime number is only divisible by 1 and itself. If you divide a prime number by a number other than 1 and itself, you will get a non-zero remainder. Numbers &#8230; <a title=\"Prime Numbers &#8211; Definition, Chart, Examples, Practice Problems\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/prime-number\" aria-label=\"More on Prime Numbers &#8211; Definition, Chart, Examples, Practice Problems\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-1091","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1091","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=1091"}],"version-history":[{"count":113,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1091\/revisions"}],"predecessor-version":[{"id":41934,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1091\/revisions\/41934"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1091"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1091"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1091"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}