{"id":14,"date":"2022-04-12T11:49:17","date_gmt":"2022-04-12T11:49:17","guid":{"rendered":"http:\/\/8thclass.deltapublications.in\/?page_id=14"},"modified":"2025-11-19T06:48:08","modified_gmt":"2025-11-19T06:48:08","slug":"a-3-prime-or-composite","status":"publish","type":"page","link":"https:\/\/8thclass.deltapublications.in\/index.php\/a-3-prime-or-composite\/","title":{"rendered":"A.3 Prime or composite"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Prime or composite<\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/07\/Class-7-A.1-Prime-or-composite.mp4\"><\/video><\/figure>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-ab4cbed01f2dc53453f6fa9edffd950d\" style=\"color:#74008b;text-transform:capitalize\"><strong>Key notes:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>What are Prime Numbers?<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Definition<\/strong>: A prime number is a natural number greater than 1 that has <strong>exactly two distinct positive divisors<\/strong>: 1 and itself.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>Examples<\/strong>:<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li><strong>2<\/strong>: Divisors are <strong>1<\/strong> and <strong>2<\/strong>.<\/li>\n\n\n\n<li><strong>5<\/strong>: Divisors are <strong>1<\/strong> and <strong>5<\/strong>.<\/li>\n\n\n\n<li><strong>13<\/strong>: Divisors are <strong>1<\/strong> and <strong>13<\/strong>.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>What are Composite Numbers?<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Definition<\/strong>: A composite number is a natural number greater than 1 that has <strong>more than two distinct positive divisors<\/strong>.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>Examples<\/strong>:<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li><strong>4<\/strong>: Divisors are <strong>1, 2, 4<\/strong>.<\/li>\n\n\n\n<li><strong>6<\/strong>: Divisors are <strong>1, 2, 3, 6<\/strong>.<\/li>\n\n\n\n<li><strong>9<\/strong>: Divisors are <strong>1, 3, 9<\/strong>.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>Identifying Prime and Composite Numbers<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-text-color has-link-color has-normal-font-size wp-elements-a5b4b8987c6f9688a92b450e1c0e5c4b\" style=\"color:#940000\"><strong>Prime Numbers<\/strong>:<\/p>\n\n\n\n<p><strong>Characteristics<\/strong>: Only divisible by 1 and the number itself.<\/p>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li><strong>Example<\/strong>: <strong>7<\/strong> can only be divided by <strong>1<\/strong> and <strong>7<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color has-normal-font-size wp-elements-6ad6015f33c9c351df52040d00c6a02c\" style=\"color:#950000\"><strong>Composite Numbers<\/strong>:<\/p>\n\n\n\n<p><strong>Characteristics<\/strong>: Can be divided by numbers other than 1 and itself.<\/p>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li><strong>Example<\/strong>: <strong>8<\/strong> can be divided by <strong>1, 2, 4, and 8<\/strong>.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>Prime vs. Composite Chart<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Chart<\/strong>:<\/p>\n\n\n\n<figure class=\"wp-block-table has-normal-font-size\"><table><thead><tr><th>Number<\/th><th>Prime or Composite?<\/th><th>Divisors<\/th><\/tr><\/thead><tbody><tr><td>2<\/td><td>Prime<\/td><td>1, 2<\/td><\/tr><tr><td>4<\/td><td>Composite<\/td><td>1, 2, 4<\/td><\/tr><tr><td>5<\/td><td>Prime<\/td><td>1, 5<\/td><\/tr><tr><td>6<\/td><td>Composite<\/td><td>1, 2, 3, 6<\/td><\/tr><tr><td>7<\/td><td>Prime<\/td><td>1, 7<\/td><\/tr><tr><td>8<\/td><td>Composite<\/td><td>1, 2, 4, 8<\/td><\/tr><tr><td>9<\/td><td>Composite<\/td><td>1, 3, 9<\/td><\/tr><tr><td>11<\/td><td>Prime<\/td><td>1, 11<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>How to Find Out If a Number is Prime or Composite<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Steps<\/strong>:<\/p>\n\n\n\n<p class=\"has-normal-font-size\"><strong>List Divisors<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Check numbers from <strong>2<\/strong> up to the square root of the number.<\/li>\n<\/ul>\n\n\n\n<p><strong>Check Divisibility<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If you find a divisor other than <strong>1<\/strong> and the number itself, it is composite.<\/li>\n<\/ul>\n\n\n\n<p><strong>Example<\/strong>:<\/p>\n\n\n\n<p><strong>Check if 17 is prime<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Divisors to check: 2, 3, 4<\/li>\n\n\n\n<li>17 is not divisible by these, so it\u2019s <strong>prime<\/strong>.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>Prime Number Chart (Small Prime Numbers)<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Chart<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\"><\/ul>\n\n\n\n<figure class=\"wp-block-table has-normal-font-size\"><table><thead><tr><th>1<\/th><th>2<\/th><th>3<\/th><th>5<\/th><th>7<\/th><th>11<\/th><th>13<\/th><th>17<\/th><th>19<\/th><th>23<\/th><th>29<\/th><th>31<\/th><th>37<\/th><th>41<\/th><th>43<\/th><th>47<\/th><\/tr><\/thead><tbody><tr><td>53<\/td><td>59<\/td><td>61<\/td><td>67<\/td><td>71<\/td><td>73<\/td><td>79<\/td><td>83<\/td><td>89<\/td><td>97<\/td><td><\/td><td><\/td><td><\/td><td><\/td><td><\/td><td><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>Fun Facts about Prime and Composite Numbers<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li><strong>Fact 1<\/strong>: <strong>2<\/strong> is the <strong>only even prime number<\/strong>.<\/li>\n\n\n\n<li><strong>Fact 2<\/strong>: Every composite number can be expressed as a product of prime numbers (prime factorization).<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>Prime Factorization<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Definition<\/strong>: Breaking down a composite number into its prime factors.<\/p>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Example<\/strong>:<\/p>\n\n\n\n<p><strong>24<\/strong> can be factored into <strong>2 x 2 x 2 x 3<\/strong>.<\/p>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li><strong>Explanation<\/strong>: <strong>24 = 2\u00b3 x 3<\/strong><\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\"><strong>let&#8217;s practice!<\/strong><\/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\/84310\/701\/333\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-5.png\" alt=\"\" class=\"wp-image-8429\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-5.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-5-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-5-150x150.png 150w\" 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\/31271\/317\/601\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-5.png\" alt=\"\" class=\"wp-image-8430\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-5.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-5-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-5-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Prime or composite Key notes: What are Prime Numbers? Definition: A prime number is a natural number greater than 1 that has exactly two distinct positive divisors: 1 and itself. Examples: What are Composite Numbers? Definition: A composite number is a natural number greater than 1 that has more than two distinct positive divisors. Examples:<a class=\"more-link\" href=\"https:\/\/8thclass.deltapublications.in\/index.php\/a-3-prime-or-composite\/\">Continue reading <span class=\"screen-reader-text\">&#8220;A.3 Prime or composite&#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,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-14","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_hostinger_reach_plugin_has_subscription_block":false,"_hostinger_reach_plugin_is_elementor":false,"_links":{"self":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/14","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=14"}],"version-history":[{"count":34,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/14\/revisions"}],"predecessor-version":[{"id":22311,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/14\/revisions\/22311"}],"wp:attachment":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=14"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}