{"id":257612,"date":"2025-07-17T15:18:50","date_gmt":"2025-07-17T15:18:50","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=257612"},"modified":"2025-07-17T15:18:52","modified_gmt":"2025-07-17T15:18:52","slug":"write-132-as-a-product-of-its-prime-factors","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/17\/write-132-as-a-product-of-its-prime-factors\/","title":{"rendered":"Write 132 as a product of its prime factors"},"content":{"rendered":"\n<p>Write 132 as a product of its prime factors<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To write 132 as a product of its prime factors, we need to break it down step by step. Here\u2019s how to do it:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Divide by the smallest prime number, 2.<\/h3>\n\n\n\n<p>132 is an even number, so it\u2019s divisible by 2.<\/p>\n\n\n\n<p>132 \u00f7 2 = 66<\/p>\n\n\n\n<p>Now, we have 66.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Divide 66 by 2.<\/h3>\n\n\n\n<p>66 is also divisible by 2 (because it\u2019s even).<\/p>\n\n\n\n<p>66 \u00f7 2 = 33<\/p>\n\n\n\n<p>Now, we have 33.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Divide by the next smallest prime number, 3.<\/h3>\n\n\n\n<p>33 is divisible by 3 because the sum of its digits (3 + 3 = 6) is divisible by 3.<\/p>\n\n\n\n<p>33 \u00f7 3 = 11<\/p>\n\n\n\n<p>Now, we have 11.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 4: Check if 11 is prime.<\/h3>\n\n\n\n<p>11 is a prime number, meaning it cannot be divided further by any number other than 1 and itself.<\/p>\n\n\n\n<p>So, we have reached the end of our factorization.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<p>132 = 2 \u00d7 2 \u00d7 3 \u00d7 11<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>This process is called <strong>prime factorization<\/strong>. A <strong>prime number<\/strong> is a number greater than 1 that has no divisors other than 1 and itself. In this case, the prime factorization of 132 involves the prime numbers 2, 3, and 11.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The first division step gave us 2, which is a prime number.<\/li>\n\n\n\n<li>We continued dividing by 2 until we got 33, which is no longer divisible by 2 but is divisible by 3.<\/li>\n\n\n\n<li>Finally, 33 divided by 3 gives 11, which is prime, ending the factorization process.<\/li>\n<\/ul>\n\n\n\n<p>Thus, 132 is written as the product of its prime factors: <strong>2 \u00d7 2 \u00d7 3 \u00d7 11<\/strong>.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-802.jpeg\" alt=\"\" class=\"wp-image-257613\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Write 132 as a product of its prime factors The Correct Answer and Explanation is: To write 132 as a product of its prime factors, we need to break it down step by step. Here\u2019s how to do it: Step 1: Divide by the smallest prime number, 2. 132 is an even number, so it\u2019s [&hellip;]<\/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-257612","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/257612","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=257612"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/257612\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=257612"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=257612"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=257612"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}