{"id":261343,"date":"2025-07-20T05:33:00","date_gmt":"2025-07-20T05:33:00","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=261343"},"modified":"2025-07-20T05:33:02","modified_gmt":"2025-07-20T05:33:02","slug":"what-is-it-divisibility-rules-for-4-8-11","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/20\/what-is-it-divisibility-rules-for-4-8-11\/","title":{"rendered":"What Is It Divisibility Rules for 4, 8, 11"},"content":{"rendered":"\n

What Is It Divisibility Rules for 4, 8, 11, and 12 Here are examples of numbers that are divisible by 4, 8, 11 and 12. Numbers Divisible by 4 8 11 12 28 32 33 48 812 96 242 180 124 176 495 240 2020 200 253 732<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

Divisibility Rules for 4, 8, 11, and 12:<\/h3>\n\n\n\n

1. Divisibility by 4:<\/strong><\/h4>\n\n\n\n

A number is divisible by 4 if the number formed by its last two digits is divisible by 4.<\/p>\n\n\n\n

    \n
  • Example:<\/strong>\n
      \n
    • 28 \u2192 The last two digits are 28. Since 28 \u00f7 4 = 7, 28 is divisible by 4.<\/li>\n\n\n\n
    • 32 \u2192 The last two digits are 32. Since 32 \u00f7 4 = 8, 32 is divisible by 4.<\/li>\n\n\n\n
    • 812 \u2192 The last two digits are 12. Since 12 \u00f7 4 = 3, 812 is divisible by 4.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n

      2. Divisibility by 8:<\/strong><\/h4>\n\n\n\n

      A number is divisible by 8 if the number formed by its last three digits is divisible by 8.<\/p>\n\n\n\n

        \n
      • Example:<\/strong>\n
          \n
        • 32 \u2192 The last three digits are 32. Since 32 \u00f7 8 = 4, 32 is divisible by 8.<\/li>\n\n\n\n
        • 96 \u2192 The last three digits are 96. Since 96 \u00f7 8 = 12, 96 is divisible by 8.<\/li>\n\n\n\n
        • 200 \u2192 The last three digits are 200. Since 200 \u00f7 8 = 25, 200 is divisible by 8.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n

          3. Divisibility by 11:<\/strong><\/h4>\n\n\n\n

          A number is divisible by 11 if the difference between the sum of the digits in odd positions and the sum of the digits in even positions is divisible by 11.<\/p>\n\n\n\n

            \n
          • Example:<\/strong>\n
              \n
            • 33 \u2192 Sum of odd positions = 3, Sum of even positions = 3. Difference = 3 – 3 = 0, which is divisible by 11.<\/li>\n\n\n\n
            • 242 \u2192 Sum of odd positions = 2 + 2 = 4, Sum of even positions = 4. Difference = 4 – 4 = 0, which is divisible by 11.<\/li>\n\n\n\n
            • 495 \u2192 Sum of odd positions = 4 + 5 = 9, Sum of even positions = 9. Difference = 9 – 9 = 0, which is divisible by 11.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n

              4. Divisibility by 12:<\/strong><\/h4>\n\n\n\n

              A number is divisible by 12 if it is divisible by both 3 and 4.<\/p>\n\n\n\n

                \n
              • Divisibility by 3:<\/strong> The sum of the digits must be divisible by 3.<\/li>\n\n\n\n
              • Divisibility by 4:<\/strong> The number formed by the last two digits must be divisible by 4.<\/li>\n\n\n\n
              • Example:<\/strong>\n
                  \n
                • 48 \u2192 Sum of digits = 4 + 8 = 12 (divisible by 3), and the last two digits are 48 (divisible by 4), so 48 is divisible by 12.<\/li>\n\n\n\n
                • 180 \u2192 Sum of digits = 1 + 8 + 0 = 9 (divisible by 3), and the last two digits are 80 (divisible by 4), so 180 is divisible by 12.<\/li>\n\n\n\n
                • 240 \u2192 Sum of digits = 2 + 4 + 0 = 6 (divisible by 3), and the last two digits are 40 (divisible by 4), so 240 is divisible by 12.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n
                  \n\n\n\n

                  In summary, divisibility by 4<\/strong> is determined by checking the last two digits, divisibility by 8<\/strong> is determined by checking the last three digits, divisibility by 11<\/strong> follows the alternating sum rule, and divisibility by 12<\/strong> requires the number to be divisible by both 3 and 4.<\/p>\n\n\n\n

                  \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

                  What Is It Divisibility Rules for 4, 8, 11, and 12 Here are examples of numbers that are divisible by 4, 8, 11 and 12. Numbers Divisible by 4 8 11 12 28 32 33 48 812 96 242 180 124 176 495 240 2020 200 253 732 The Correct Answer and Explanation is: Divisibility […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-261343","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/261343","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=261343"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/261343\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=261343"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=261343"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=261343"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}