{"id":26996,"date":"2023-03-31T18:01:00","date_gmt":"2023-03-31T18:01:00","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=26996"},"modified":"2024-03-26T09:10:31","modified_gmt":"2024-03-26T09:10:31","slug":"rules-of-divisibility-definition-chart-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/divisibility-rules","title":{"rendered":"Rules of Divisibility: Definition, Chart, Examples"},"content":{"rendered":"<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-3b94280f-8a8a-453f-b716-96809f0e9989\" 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\/divisibility-rules#0-what-are-divisibility-rules>What Are Divisibility Rules?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/divisibility-rules#1-divisibility-rules-definition>Divisibility Rules: Definition<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/divisibility-rules#2-divisibility-test-division-rules-in-math>Divisibility Test (Division Rules in Math)<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/divisibility-rules#9-divisibility-rules-chart>Divisibility Rules: Chart<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/divisibility-rules#12-solved-examples-for-divisibility-rules>Solved Examples for Divisibility Rules<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/divisibility-rules#13-frequently-asked-questions-on-divisibility-rules>Frequently Asked Questions on Divisibility Rules<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-are-divisibility-rules\">What Are Divisibility Rules?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Divisibility rules are simple tips and tricks that are used to check or test whether a number is divisible by another number.&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Consider an example. Imagine that you have 13 candy bars. Can you divide them equally among 3 friends? How would you check? You can check if 13 is \u201cdivisible by\u201d 3. In other words, you can check if 13 appears in the times table of 3 or not!&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">What if you wish to check if you can divide 221 candies equally among 6 friends? Finding 221 in the multiplication table of 6 can be very time-consuming. When dealing with large numbers, we need to take a different approach. What do you think?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">To solve problems like these in no time, we use divisibility rules. With divisibility rules at your fingertips, you can answer easily without doing too much calculation!<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"1-divisibility-rules-definition\">Divisibility Rules: Definition<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Divisibility rules are a set of general rules that are often used to determine whether or not a number is absolutely divisible by another number<\/strong>. Note that \u201cdivisible by\u201d means a number divides the given number without any remainder, and the answer is a whole number.<\/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\/divisibility-check-by-10\" 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\/divisibility-check-by-10.jpeg\" alt=\"Divisibility Check by 10\">\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\/divisibility-check-by-2\" 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\/divisibility-check-by-2.jpeg\" alt=\"Divisibility Check by 2\">\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\/divisibility-check-by-3\" 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\/divisibility-check-by-3.jpeg\" alt=\"Divisibility Check by 3\">\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\/divisibility-check-by-4\" 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\/divisibility-check-by-4.jpeg\" alt=\"Divisibility Check by 4\">\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\/divisibility-check-by-5\" 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\/divisibility-check-by-5.jpeg\" alt=\"Divisibility Check by 5\">\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\/divisibility-check-by-6\" 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\/divisibility-check-by-6.jpeg\" alt=\"Divisibility Check by 6\">\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\/divisibility-check-by-7\" 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\/divisibility-check-by-7.jpeg\" alt=\"Divisibility Check by 7\">\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\/divisibility-check-by-8\" 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\/divisibility-check-by-8.jpeg\" alt=\"Divisibility Check by 8\">\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\/divisibility-check-by-9\" 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\/divisibility-check-by-9.jpeg\" alt=\"Divisibility Check by 9\">\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 = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-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=\"2-divisibility-test-division-rules-in-math\">Divisibility Test (Division Rules in Math)<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Mathematical tests for divisibility or division rules help you employ a quick check to determine whether a number will be totally divisible by another number.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">What are the divisibility rules? Let\u2019s learn divisibility rules 1-13.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"3-divisibility-rule-of-1\">Divisibility Rule of 1<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Every number ever is divisible by 1.&nbsp;<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"4-divisibility-rule-of-2\">Divisibility Rule of 2<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Every even number is divisible by 2. Any number that ends with 2, 4, 6, 8, or 0 gives 0 as the remainder when divided by 2.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">For example, 12, 46, and 780 are all divisible by 2.&nbsp;&nbsp;<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"5-divisibility-rules-of-3\">Divisibility Rules of 3<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A number is completely divisible by 3 if the sum of its digits is divisible by 3. You can also repeat this rule until you get a single-digit sum.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Example 1:<\/strong> Check whether 93 is divisible by 3 or not.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sum of the digits = 9 + 3 = 12<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">If the sum is a multiple of 3, then the original number is also divisible by 3.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Here, as 12 is divisible by 3, 93 is also divisible by 3.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Example 2:<\/strong> 45,609<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">To make the process even easier, you can also find the sum of the digits until you get a single digit.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sum of digits = 4 + 5 + 6 + 9 + 0 = 24<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Adding further, we get 2 + 4 = 6<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">6 is divisible by 3.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Thus, 45609 is divisible by 3.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"6-divisibility-rule-of-4\">Divisibility Rule of 4<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">If the number formed by the last two digits of a number is divisible by 4, then that number is divisible by 4. Numbers having 00 as their last digits are also divisible by 4.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Example 1:<\/strong> Consider the number 284. Check the last two digits.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The last two digits of the number form the number 84. As 84 is divisible by 4, the original number 284 is also divisible by 4.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 2:<\/strong> 1328<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"317\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/divisibility-rule-of-example.png\" alt=\"Divisibility rule of 4: example\" class=\"wp-image-34521\" title=\"Divisibility rule of 4: example\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/divisibility-rule-of-example.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/divisibility-rule-of-example-300x153.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">The number formed by the last 2 digits is 28.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">28 is divisible by 4.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Thus, 1328 is also divisible by 4.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"7-divisibility-rule-of-5\">Divisibility Rule of 5<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">If a number ends with 0 or 5, it is divisible by 5.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">For example, 35, 790, and 55 are all divisible by 5.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"8-divisibility-rule-of-6\">Divisibility Rule of 6<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">If a number is divisible by 2 and 3, it will be divisible by 6 as well.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">For example, the numbers 6, 12, and 18 are divisible by 2 and 3. So, they are divisible by 6 as well.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"476\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/divisibility-rule-for-visual-example.png\" alt=\"Divisibility rule for 6: visual example\" class=\"wp-image-34523\" title=\"Divisibility rule for 6: visual example\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/divisibility-rule-for-visual-example.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/divisibility-rule-for-visual-example-300x230.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Divisibility Rules of 7<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">If subtracting twice of the last digit from the number formed by remaining digits is 0 or divisible by 7, the number is divisible by 7. This one is a little tricky. Let\u2019s understand with an example.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example: Check whether 905 is divisible by 7 or not.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 1: <\/strong>Check the last digit and double it.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Last digit $= 5$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Multiply it by 2.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$5 \\times 2 = 10$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 2:<\/strong> Subtract this product from the rest of the number.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Here, the remaining number $= 90$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$90 \\;-\\; 10 = 80$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 3:<\/strong> If this number is 0 or a multiple of 7, then the original number is also divisible by 7.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">80 is not divisible by 7. So, 905 is also not divisible by 7.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Divisibility Rule of 8<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">If the number formed by the last three digits of a number is divisible by 8, we say that the number is divisible by 8.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 1:<\/strong> In the number 4176, the last 3 digits are 176.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">If we divide 176 by 8, we get:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"352\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/applying-divisibility-rule-of-8.png\" alt=\"Applying divisibility rule of 8 \" class=\"wp-image-34524\" title=\"Applying divisibility rule of 8 \" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/applying-divisibility-rule-of-8.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/applying-divisibility-rule-of-8-300x170.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Since 176 is divisible by 8, 4176 is also divisible by 8.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 2:&nbsp;<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"335\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/applying-the-divisibility-rule-of-8.png\" alt=\"Applying the divisibility rule of 8\" class=\"wp-image-34526\" title=\"Applying the divisibility rule of 8\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/applying-the-divisibility-rule-of-8.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/applying-the-divisibility-rule-of-8-300x162.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Thus, 12,920 is divisible by 8.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Divisibility Rule of 9<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">If the sum of digits of the number is divisible by 9, then the number itself is divisible by 9. You can keep adding further by repeating the rule. If the single-digit sum is 9, the number is divisible by 9.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 1: <\/strong>Consider 189.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The sum of its digits$ = (1+8+9) = 18$, which is divisible by 9, hence 189 is divisible by 9.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 2:<\/strong> 12,897<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Sum of digits $= 1 + 2 + 8 + 9 + 7 = 27$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Adding further, $2 + 7 = 9$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Thus, 12897 is divisible by 9.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Divisibility Rule of 10<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Any number whose last digit is 0 is divisible by 10.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Example: 10, 20, 30, 100, 2000, 40,000, etc.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Divisibility Rule for 11<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">If the difference of the sum of alternative digits of a number is divisible by 11, then that number is divisible by 11.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 1: <\/strong>Consider the number. 2846767. First, understand the digit positions. We find two sums: the sum of digits at the even places and the sum of digits at the odd places.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"308\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/identify-even-and-odd-places-in-a-number-for-divisibility-rule-of-11.png\" alt=\"Identify even and odd places in a number for divisibility rule of 11\" class=\"wp-image-34527\" title=\"Identify even and odd places in a number for divisibility rule of 11\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/identify-even-and-odd-places-in-a-number-for-divisibility-rule-of-11.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/identify-even-and-odd-places-in-a-number-for-divisibility-rule-of-11-300x149.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Sum of digits at even places (From right) $= 8 + 6 + 6 = 20$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Sum of digits at odd places (From right) $= 7 + 7 + 4 + 2 = 20$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Difference $= 20 &#8211; 20 = 0$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Difference is divisible by 11.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Thus, 2846767 is divisible by 11.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Example 2: <\/strong>Is<strong> <\/strong>61809 divisible by 11?&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Identify digits in odd places and digits in even places.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"327\" height=\"39\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/identify-digits-alternate-places-divisibility-rule-of-11.png\" alt=\"identify digits alternate places: divisibility rule of 11\" class=\"wp-image-34528\" title=\"identify digits alternate places: divisibility rule of 11\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/identify-digits-alternate-places-divisibility-rule-of-11.png 327w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/identify-digits-alternate-places-divisibility-rule-of-11-300x36.png 300w\" sizes=\"auto, (max-width: 327px) 100vw, 327px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Here, $6 + 8 + 9 = 23$ and $0 + 1 = 1$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Difference $= 23 &#8211; 1 = 22$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">22 is divisible by 11.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Thus, the given number is divisible by 11.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Another Divisibility Rule For 11<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">There\u2019s another simple divisibility rule for 11.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Subtract the last digits from the remaining number. Keep doing this until we get a two-digit number. If the number obtained is divisible by 11, the original number is divisible by 11.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Example: 1749<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$174\\;-\\;9 = 165$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$16\\;-\\;5 = 11$ \u2026 divisible by 11<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Thus, 1749 is divisible by 11.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Divisibility Rule of 12<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">If the number is divisible by both 3 and 4, then the number is divisible by 12&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example: <\/strong>&nbsp;4880<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Sum of the digits $= 4 + 8 + 8 + 0 = 20$ (not a multiple of 3)<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Last two digits $= 80$&nbsp; (divisible by 4)<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The given number 4880 is divisible by 4 but not by 3.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Thus, 4880 is not divisible by 12.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Divisibility Rules of 13<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">To check if it is divisible by 13, we add 4 times of the last digit of the remaining number and repeat the process until we get a two-digit number. If that two-digit number is divisible by 13, then the given number is divisible by 13.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Example: Is 4186 divisible by 13?<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">$418 + (6 \\times 4) =&nbsp; 418 + 24 = 442$<\/li>\n\n\n\n<li class=\"eplus-wrapper\">$44 + (2 \\times 4) = 44 + 8 = 52$<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">52 is divisible by 13 since $13 \\times 4 = 52$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Thus, 4186 is divisible by 13.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"9-divisibility-rules-chart\">Divisibility Rules: Chart<\/h2>\n\n\n\n<figure class=\"wp-block-table eplus-wrapper\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-center\" data-align=\"center\" colspan=\"2\"><strong>Divisibility Rules Chart<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">   <strong>Divisibility by 1<\/strong>                       <\/td><td>Every number is divisible by 1.<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>Divisibility by 2<\/strong><\/td><td>When the last digit is 0, 2, 4, 6, or 8<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>Divisibility by 3<\/strong><\/td><td>When the sum of digits is divisible by 3<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>Divisibility by 4<\/strong><\/td><td>When the last two digits of any dividend are divisible by 4&nbsp;<strong>(NOTE:<\/strong> Numbers having 00 as their last digits are also divisible by 4.)&nbsp;<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>Divisibility by 5<\/strong><\/td><td>When the last digit is either 0 or 5<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>Divisibility by 6<\/strong><\/td><td>When the number is divisible by both 2 and 3<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>Divisibility by 7<\/strong><\/td><td>When the last digit is subtracted twice from the remaining digits and gives the multiple of 7<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>Divisibility by 8<\/strong><\/td><td>When the last three digits are divisible by 8<strong>(NOTE:<\/strong> Numbers having 000 as their last digits are also divisible by 8.)&nbsp;<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>Divisibility by 9<\/strong><\/td><td>When the sum of all digits is divisible by 9<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">  <strong>Divisibility by 10<\/strong><\/td><td>When the last digit is 0<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">  <strong>Divisibility by 11<\/strong><\/td><td>When the difference between the sums of the alternative digits is divisible by 11<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">  <strong>Divisibility by 12<\/strong><\/td><td>When a number is both divisible by 3 and 4<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>Divisibility by 13<\/strong><\/td><td>Multiply 4 with the last digit and add this product to the remaining number. Continue till a two-digit number is found. If the 2-digit number is divisible by 13, the number is divisible by 13.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"10-facts-about-divisibility-rules\">Facts about Divisibility Rules<\/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-4fc3f8e1 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"wp-block-list\">\n<li><strong>\u201cDivisible\u201d<\/strong> means a number can be divided evenly with another number with NO remainders.&nbsp;&nbsp;<\/li>\n\n\n\n<li>The divisibility rule is a shortcut to analyze whether an integer is completely divisible by a number without actually doing the calculation.<\/li>\n\n\n\n<li>Zero is divisible by any number (except by itself), so it gets a \u201cyes\u201d to all these tests.<\/li>\n\n\n\n<li>When a number is divisible by another number, it is also divisible by each of the factors of that number. For instance, a number divisible by 6 will also be divisible by 2 and 3. A number divisible by 10 is also divisible by 5 and 2.<\/li>\n\n\n\n<li>Numbers that have two zeros at the end are divisible by 4. Numbers with three zeros at the end are divisible by 8.<\/li>\n\n\n\n<li>The number 2,520 is the smallest number that is divisible by 2, 3, 4, 5, 6, 7, 8, 9, and 10.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"11-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">In this article, we have learned divisibility rules and charts with examples. Let\u2019s solve some divisibility rules examples to understand it better.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"12-solved-examples-for-divisibility-rules\">Solved Examples for Divisibility Rules<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>1. If a number is divisible by 6, can we say it is divisible by 2 as well?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Yes, because 6 is divisible by 2.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">If a number is divisible by some numbers, say x, that number is also divisible by factors of x.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">For example, 480 is divisible by 6.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Thus, $480 \\div 6 = 80$.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$480 \\div 2 = 240$.\u00a0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Also, $480 \\div 3 = 160$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Thus, If a number is divisible by 6, can we say it is divisible by 2 and 3 as well, as 2 and 3 are factors of 6.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>2. Use divisibility rules to check whether 642 is divisible by 4 and 3.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Divisibility rule for 4:<\/strong> If the last two digits of a number are divisible by 4, then that number is divisible by 4.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The last two digits of $642 = 42$, which is not divisible by 4.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Thus, 542 is not divisible by 4.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Divisibility rule of 3:<\/strong> If the sum of digits is divisible by 3, we say that the original number is divisible by 3.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Sum of digits $= 6 + 4 + 2 = 12$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">12 is divisible by 3.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">So, 542 is not divisible by 8.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>3. <strong>Check 3640 for divisibility by 13.<\/strong><\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The last number of the given number is 0.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Multiply 4 by 0 and add to the rest of the number.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$364 + (0 \\times 4) = 364$.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Again, multiply 4 by the last digit of the obtained three-digit number and add to the rest of the digits as<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$36 + (4 \\times 4) = 52$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Now, we obtained a two-digit number 52, which is divisible by 13.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$52 = 4 \\times 13$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Hence, 3640 is divisible by 13.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Rules of Divisibility: Definition, Chart, Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Which number is not divisible by 5?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">5,448<\/div><div class=\"spq_answer_block\" data-value=\"1\">3,405<\/div><div class=\"spq_answer_block\" data-value=\"2\">3,395<\/div><div class=\"spq_answer_block\" data-value=\"3\">680<\/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: 5,448<br\/>According to the divisibility rule of 5, If the last digit of a number is 5 or 0, the number is always divisible by 5. So, 680 is divisible by 5.<\/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\">Which of the following numbers is divisible by 2?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">371<\/div><div class=\"spq_answer_block\" data-value=\"1\">860<\/div><div class=\"spq_answer_block\" data-value=\"2\">823<\/div><div class=\"spq_answer_block\" data-value=\"3\">425<\/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: 860<br\/>All even numbers are divisible by 2.<\/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\">Which of the following numbers is divisible by 6?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">15<\/div><div class=\"spq_answer_block\" data-value=\"1\">29<\/div><div class=\"spq_answer_block\" data-value=\"2\">18<\/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: 18<br\/>According to the rule of divisibility by 6, the number divisible by both 2 and 3 is also divisible by 6. In the given list, only 18 is divisible by 2 and 3. Thus, 18 is divisible by 6.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">Identify a number divisible by 9.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">29<\/div><div class=\"spq_answer_block\" data-value=\"1\">139<\/div><div class=\"spq_answer_block\" data-value=\"2\">997<\/div><div class=\"spq_answer_block\" data-value=\"3\">117<\/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: 117<br\/>Sum of digits in the number $117 = 1 + 1 + 7 = 9$.<br> \r\nThe sum is divisible by 9. Thus, 117 is divisible by 9.<br>\r\nFor all the other options, the sum of digits in a number is not divisible by 9.<\/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\": \"Rules of Divisibility: Definition, Chart, Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Rules of Divisibility\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which number is not divisible by 5?\",\n                    \"text\": \"Which number is not divisible by 5?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"According to the divisibility rule of 5, If the last digit of a number is 5 or 0, the number is always divisible by 5. So, 680 is divisible by 5.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"3,405\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"According to the divisibility rule of 5, If the last digit of a number is 5 or 0, the number is always divisible by 5. 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So, 680 is divisible by 5.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"680\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"According to the divisibility rule of 5, If the last digit of a number is 5 or 0, the number is always divisible by 5. 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So, 680 is divisible by 5.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following numbers is divisible by 2?\",\n                    \"text\": \"Which of the following numbers is divisible by 2?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"All even numbers are divisible by 2.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"371\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"All even numbers are divisible by 2.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"823\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"All even numbers are divisible by 2.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"425\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"All even numbers are divisible by 2.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"860\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"All even numbers are divisible by 2.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"All even numbers are divisible by 2.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following numbers is divisible by 6?\",\n                    \"text\": \"Which of the following numbers is divisible by 6?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"According to the rule of divisibility by 6, the number divisible by both 2 and 3 is also divisible by 6. In the given list, only 18 is divisible by 2 and 3. Thus, 18 is divisible by 6.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"15\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"According to the rule of divisibility by 6, the number divisible by both 2 and 3 is also divisible by 6. In the given list, only 18 is divisible by 2 and 3. Thus, 18 is divisible by 6.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"29\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"According to the rule of divisibility by 6, the number divisible by both 2 and 3 is also divisible by 6. In the given list, only 18 is divisible by 2 and 3. Thus, 18 is divisible by 6.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"37\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"According to the rule of divisibility by 6, the number divisible by both 2 and 3 is also divisible by 6. In the given list, only 18 is divisible by 2 and 3. Thus, 18 is divisible by 6.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"18\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"According to the rule of divisibility by 6, the number divisible by both 2 and 3 is also divisible by 6. In the given list, only 18 is divisible by 2 and 3. Thus, 18 is divisible by 6.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"According to the rule of divisibility by 6, the number divisible by both 2 and 3 is also divisible by 6. In the given list, only 18 is divisible by 2 and 3. Thus, 18 is divisible by 6.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Identify a number divisible by 9.\",\n                    \"text\": \"Identify a number divisible by 9.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Sum of digits in the number $$117 = 1 + 1 + 7 = 9$$.<br> \r\nThe sum is divisible by 9. Thus, 117 is divisible by 9.<br>\r\nFor all the other options, the sum of digits in a number is not divisible by 9.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"29\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Sum of digits in the number $$117 = 1 + 1 + 7 = 9$$.<br> \r\nThe sum is divisible by 9. Thus, 117 is divisible by 9.<br>\r\nFor all the other options, the sum of digits in a number is not divisible by 9.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"139\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Sum of digits in the number $$117 = 1 + 1 + 7 = 9$$.<br> \r\nThe sum is divisible by 9. Thus, 117 is divisible by 9.<br>\r\nFor all the other options, the sum of digits in a number is not divisible by 9.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"997\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Sum of digits in the number $$117 = 1 + 1 + 7 = 9$$.<br> \r\nThe sum is divisible by 9. Thus, 117 is divisible by 9.<br>\r\nFor all the other options, the sum of digits in a number is not divisible by 9.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"117\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Sum of digits in the number $$117 = 1 + 1 + 7 = 9$$.<br> \r\nThe sum is divisible by 9. Thus, 117 is divisible by 9.<br>\r\nFor all the other options, the sum of digits in a number is not divisible by 9.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Sum of digits in the number $$117 = 1 + 1 + 7 = 9$$.<br> \r\nThe sum is divisible by 9. Thus, 117 is divisible by 9.<br>\r\nFor all the other options, the sum of digits in a number is not divisible by 9.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"13-frequently-asked-questions-on-divisibility-rules\">Frequently Asked Questions on Divisibility Rules<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-50d187fb-7d7e-47cc-8d4e-2565a14e869d\" 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-0-50d187fb-7d7e-47cc-8d4e-2565a14e869d\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-50d187fb-7d7e-47cc-8d4e-2565a14e869d\"><strong>What are co-primes and their divisibility rules?<\/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-0-50d187fb-7d7e-47cc-8d4e-2565a14e869d\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Co-primes are a pair of numbers that have 1 as the common factor. If the number is divisible by such co-primes, the number is also a divisible by-product of the co-primes. For example, 14 is divisible by both 2 and 7. They are co-primes that have only 1 as the common factor, so the number is divided by 14, the product of 2 and 7.<\/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-1-50d187fb-7d7e-47cc-8d4e-2565a14e869d\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-50d187fb-7d7e-47cc-8d4e-2565a14e869d\"><strong>When is a number said to be a factor of another 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-1-50d187fb-7d7e-47cc-8d4e-2565a14e869d\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">A number x is said to be a factor of number y if y is divisible by x. For example, 10 is divisible by 2, so 2 is a factor of 10.<\/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-2-50d187fb-7d7e-47cc-8d4e-2565a14e869d\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-50d187fb-7d7e-47cc-8d4e-2565a14e869d\"><strong>Where do we use divisibility rules in real life?<\/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-2-50d187fb-7d7e-47cc-8d4e-2565a14e869d\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Divisibility rules are the quickest way to determine if a number is divisible by another number. It saves the time required to perform the actual division. Divisibility rules also give you a number sense when it comes to division and multiplication of two or more 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-3-50d187fb-7d7e-47cc-8d4e-2565a14e869d\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-50d187fb-7d7e-47cc-8d4e-2565a14e869d\"><strong>What are composite 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-3-50d187fb-7d7e-47cc-8d4e-2565a14e869d\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">In math, composite numbers can be defined as numbers that have more than two factors. Numbers that are not prime are composite numbers because they are divisible by more than two numbers.&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">For example:<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Factors of $4 = 1, 2, 4$, i.e.,&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Since 4 has more than two factors, 4 is 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-4-50d187fb-7d7e-47cc-8d4e-2565a14e869d\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-50d187fb-7d7e-47cc-8d4e-2565a14e869d\"><strong>How many divisibility rules are there?<\/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-4-50d187fb-7d7e-47cc-8d4e-2565a14e869d\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">We often have standards for divisibility from 1 to 20. However, if we were able to recognize the pattern of multiples of integers, we could develop further tests for divisibility. For example, the divisibility rule of 21 states that a number must be divisible by both 3 and 7. It is because 21 is a multiple of two prime numbers 3 and 7, so all the multiples of 21 will definitely have 3 and 7 as their common factors.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Are Divisibility Rules? Divisibility rules are simple tips and tricks that are used to check or test whether a number is divisible by another number.&nbsp; Consider an example. Imagine that you have 13 candy bars. Can you divide them equally among 3 friends? How would you check? You can check if 13 is \u201cdivisible &#8230; <a title=\"Rules of Divisibility: Definition, Chart, Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/divisibility-rules\" aria-label=\"More on Rules of Divisibility: Definition, Chart, Examples\">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-26996","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\/26996","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=26996"}],"version-history":[{"count":19,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/26996\/revisions"}],"predecessor-version":[{"id":41169,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/26996\/revisions\/41169"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=26996"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=26996"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=26996"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}