{"id":256801,"date":"2025-07-16T13:44:10","date_gmt":"2025-07-16T13:44:10","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=256801"},"modified":"2025-07-16T13:44:12","modified_gmt":"2025-07-16T13:44:12","slug":"which-number-is-divisible-by-3","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/16\/which-number-is-divisible-by-3\/","title":{"rendered":"Which number is divisible by 3"},"content":{"rendered":"\n

Which number is divisible by 3? 432 562 491 2. Which number is divisible by 6? 773 684 909 3. Which number is divisible by 9? 201 611 621 4. Which number is divisible by 3 and 6? 536 198 973 5. Which number is divisible by 3 and 9? 432 562 491<\/p>\n\n\n\n

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

    \n
  1. 432<\/strong><\/li>\n\n\n\n
  2. 684<\/strong><\/li>\n\n\n\n
  3. 621<\/strong><\/li>\n\n\n\n
  4. 198<\/strong><\/li>\n\n\n\n
  5. 432<\/strong><\/li>\n<\/ol>\n\n\n\n

    Explanation:<\/strong><\/p>\n\n\n\n

    To determine divisibility by 3, 6, and 9, we use simple math rules involving digits:<\/p>\n\n\n\n

    Divisibility by 3<\/strong>: A number is divisible by 3 if the sum of its digits<\/strong> is divisible by 3.<\/p>\n\n\n\n

      \n
    • 432 \u2192 4 + 3 + 2 = 9 \u2192 9 \u00f7 3 = 3 \u2192 divisible<\/li>\n\n\n\n
    • 562 \u2192 5 + 6 + 2 = 13 \u2192 not divisible by 3<\/li>\n\n\n\n
    • 491 \u2192 4 + 9 + 1 = 14 \u2192 not divisible by 3
      So, 432<\/strong> is divisible by 3.<\/li>\n<\/ul>\n\n\n\n

      Divisibility by 6<\/strong>: A number is divisible by 6 if it is divisible by both 2 and 3<\/strong>.<\/p>\n\n\n\n

        \n
      • 773 \u2192 odd number \u2192 not divisible by 2 \u2192 not divisible by 6<\/li>\n\n\n\n
      • 684 \u2192 6 + 8 + 4 = 18 \u2192 divisible by 3, and 684 is even \u2192 divisible by 2 \u2192 divisible by 6<\/li>\n\n\n\n
      • 909 \u2192 9 + 0 + 9 = 18 \u2192 divisible by 3, but 909 is odd \u2192 not divisible by 2 \u2192 not divisible by 6
        So, 684<\/strong> is divisible by 6.<\/li>\n<\/ul>\n\n\n\n

        Divisibility by 9<\/strong>: A number is divisible by 9 if the sum of its digits<\/strong> is divisible by 9.<\/p>\n\n\n\n

          \n
        • 201 \u2192 2 + 0 + 1 = 3 \u2192 not divisible by 9<\/li>\n\n\n\n
        • 611 \u2192 6 + 1 + 1 = 8 \u2192 not divisible by 9<\/li>\n\n\n\n
        • 621 \u2192 6 + 2 + 1 = 9 \u2192 9 \u00f7 9 = 1 \u2192 divisible
          So, 621<\/strong> is divisible by 9.<\/li>\n<\/ul>\n\n\n\n

          Divisibility by 3 and 6<\/strong>: The number must satisfy rules for both 3 and 6 (so it must also be even).<\/p>\n\n\n\n

            \n
          • 536 \u2192 5 + 3 + 6 = 14 \u2192 not divisible by 3<\/li>\n\n\n\n
          • 198 \u2192 1 + 9 + 8 = 18 \u2192 divisible by 3, and 198 is even \u2192 divisible by 2 \u2192 divisible by 6<\/li>\n\n\n\n
          • 973 \u2192 9 + 7 + 3 = 19 \u2192 not divisible by 3
            So, 198<\/strong> is divisible by both 3 and 6.<\/li>\n<\/ul>\n\n\n\n

            Divisibility by 3 and 9<\/strong>: The number must satisfy both rules (sum of digits divisible by 9).<\/p>\n\n\n\n

              \n
            • 432 \u2192 4 + 3 + 2 = 9 \u2192 divisible by 3 and 9<\/li>\n\n\n\n
            • 562 \u2192 5 + 6 + 2 = 13 \u2192 not divisible<\/li>\n\n\n\n
            • 491 \u2192 4 + 9 + 1 = 14 \u2192 not divisible
              So, 432<\/strong> is divisible by both 3 and 9.<\/li>\n<\/ul>\n\n\n\n
              \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

              Which number is divisible by 3? 432 562 491 2. Which number is divisible by 6? 773 684 909 3. Which number is divisible by 9? 201 611 621 4. Which number is divisible by 3 and 6? 536 198 973 5. Which number is divisible by 3 and 9? 432 562 491 The Correct […]<\/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-256801","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/256801","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=256801"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/256801\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=256801"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=256801"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=256801"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}