{"id":46,"date":"2022-04-08T04:19:53","date_gmt":"2022-04-08T04:19:53","guid":{"rendered":"http:\/\/6thclass.deltapublications.in\/?page_id=46"},"modified":"2025-11-19T10:54:22","modified_gmt":"2025-11-19T10:54:22","slug":"c-1divisibility-rules","status":"publish","type":"page","link":"https:\/\/6thclass.deltapublications.in\/index.php\/c-1divisibility-rules\/","title":{"rendered":"C.1 Divisibility rules"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color has-huge-font-size\" style=\"color:#00056d;text-transform:uppercase\"><strong>Divisibility rules<\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/divisibility-rules.mp4\"><\/video><\/figure>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-e1411710dcbc9b9c4cafe7aeefdcb74c\" style=\"color:#74008b;text-transform:capitalize\">key notes:<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udd22 <strong>Divisibility by 2<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A number is divisible by <strong>2<\/strong> if its <strong>last digit<\/strong> is <strong>0, 2, 4, 6, or 8<\/strong>.<br>\u2728 <em>Example:<\/em> 248 \u279d last digit 8 \u2714\ufe0f<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udd22 <strong>Divisibility by 3<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Add all the digits.<\/li>\n\n\n\n<li>If the <strong>sum<\/strong> is divisible by <strong>3<\/strong>, then the number is also divisible by <strong>3<\/strong>.<br>\u2728 <em>Example:<\/em> 351 \u2192 3+5+1 = 9 \u2714\ufe0f<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udd22 <strong>Divisibility by 4<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Look at the <strong>last two digits<\/strong>.<\/li>\n\n\n\n<li>If those digits form a number divisible by <strong>4<\/strong>, then the whole number is divisible by <strong>4<\/strong>.<br>\u2728 <em>Example:<\/em> 524 \u2192 last two digits 24 \u2714\ufe0f<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udd22 <strong>Divisibility by 5<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A number is divisible by <strong>5<\/strong> if it ends in <strong>0 or 5<\/strong>.<br>\u2728 <em>Example:<\/em> 775 \u279d ends in 5 \u2714\ufe0f<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udd22 <strong>Divisibility by 6<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A number is divisible by <strong>6<\/strong> if it is divisible by <strong>2 AND 3<\/strong>.<br>\u2728 <em>Example:<\/em> 264 \u2192 even \u2714\ufe0f and 2+6+4 = 12 (divisible by 3) \u2714\ufe0f<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udd22 <strong>Divisibility by 8<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Check the <strong>last three digits<\/strong>.<\/li>\n\n\n\n<li>If they form a number divisible by <strong>8<\/strong>, the whole number is divisible by 8.<br>\u2728 <em>Example:<\/em> 6,432 \u2192 last three digits 432 \u2714\ufe0f<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udd22 <strong>Divisibility by 9<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Add all digits.<\/li>\n\n\n\n<li>If the sum is divisible by <strong>9<\/strong>, the number is divisible by 9 too.<br>\u2728 <em>Example:<\/em> 4,131 \u2192 4+1+3+1 = 9 \u2714\ufe0f<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udd22 <strong>Divisibility by 10<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A number is divisible by <strong>10<\/strong> if it ends in <strong>0<\/strong>.<br>\u2728 <em>Example:<\/em> 840 \u2192 ends in 0 \u2714\ufe0f<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83c\udfaf <strong>Why Divisibility Rules Are Useful?<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Helps in <strong>quick calculations<\/strong><\/li>\n\n\n\n<li>Makes <strong>factorization easier<\/strong><\/li>\n\n\n\n<li>Useful for <strong>finding LCM\/GCD<\/strong><\/li>\n\n\n\n<li>Saves <strong>time during exams<\/strong> \ud83d\udd52\u2728<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-background-color has-text-color has-background has-normal-font-size\" style=\"background-color:#156b75\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color has-link-color wp-elements-9cba8a5236bb8b1170ce97e247175e27\" style=\"color:#b00012\">\ud83d\uddfc Type a digit that makes this statement true.<\/p>\n\n\n\n<p>645,02 _____&nbsp;is divisible by 2.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Yes<\/li>\n\n\n\n<li>no<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Since the number 645,02 <strong>? <\/strong>is divisible by 2, the missing digit must be 0, 2, 4, 6, or 8.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background-color has-text-color has-background has-normal-font-size\" style=\"background-color:#700084\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color has-link-color wp-elements-9cba8a5236bb8b1170ce97e247175e27\" style=\"color:#b00012\">\ud83d\uddfc Type a digit that makes this statement true.<\/p>\n\n\n\n<p>50,515,51 _____&nbsp;is divisible by 10.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>yes<\/li>\n\n\n\n<li>no<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p class=\"has-normal-font-size\">Since the number 50,515,51 <strong>? <\/strong>is divisible by 10, the missing digit must be 0.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background-color has-text-color has-background has-normal-font-size\" style=\"background-color:#777b02\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color has-link-color wp-elements-cf80f9426eb2d2584bc4008695b8d63d\" style=\"color:#b00012\">\ud83d\uddfcIs 6,487,572 divisible by 10?<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>yes<\/li>\n\n\n\n<li>no<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Try the &#8220;divisible by 10&#8221; rule on 6,487,572.<\/li>\n\n\n\n<li>Look at the ones digit:<\/li>\n\n\n\n<li>6,487,572<\/li>\n\n\n\n<li>The ones digit is 2.&nbsp;<br>The rule says that 6,487,572 is not divisible by 10.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">let&#8217;s practice:<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/76326\/022\/378\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Worksheet-1-2.png\" alt=\"\" class=\"wp-image-4589\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Worksheet-1-2.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Worksheet-1-2-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Worksheet-1-2-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Worksheet-1-2-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/76333\/450\/588\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Worksheet-1-1-1.png\" alt=\"\" class=\"wp-image-4590\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Worksheet-1-1-1.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Worksheet-1-1-1-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Worksheet-1-1-1-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Worksheet-1-1-1-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Divisibility rules key notes: \ud83d\udd22 Divisibility by 2 \ud83d\udd22 Divisibility by 3 \ud83d\udd22 Divisibility by 4 \ud83d\udd22 Divisibility by 5 \ud83d\udd22 Divisibility by 6 \ud83d\udd22 Divisibility by 8 \ud83d\udd22 Divisibility by 9 \ud83d\udd22 Divisibility by 10 \ud83c\udfaf Why Divisibility Rules Are Useful? Learn with an example \ud83d\uddfc Type a digit that makes this statement true.<a class=\"more-link\" href=\"https:\/\/6thclass.deltapublications.in\/index.php\/c-1divisibility-rules\/\">Continue reading <span class=\"screen-reader-text\">&#8220;C.1 Divisibility rules&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_mi_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-46","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/46","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=46"}],"version-history":[{"count":41,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/46\/revisions"}],"predecessor-version":[{"id":17359,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/46\/revisions\/17359"}],"wp:attachment":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=46"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}