Find the HCF of the following numbers, using the prime factorization method: 272, 425<\/p>\n\n\n\n
The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n To find the Highest Common Factor (HCF) of 272 and 425 using the prime factorization method, follow these steps:<\/p>\n\n\n\n Start by dividing 272 by the smallest prime number, which is 2.<\/p>\n\n\n\n 272 \u00f7 2 = 136<\/p>\n\n\n\n 136 \u00f7 2 = 68<\/p>\n\n\n\n 68 \u00f7 2 = 34<\/p>\n\n\n\n 34 \u00f7 2 = 17<\/p>\n\n\n\n 17 is a prime number and cannot be divided further.<\/p>\n\n\n\n So, the prime factorization of 272 is:<\/p>\n\n\n\n 272 = 2\u2074 \u00d7 17<\/p>\n\n\n\n Next, divide 425 by the smallest prime number, which is 5.<\/p>\n\n\n\n 425 \u00f7 5 = 85<\/p>\n\n\n\n 85 \u00f7 5 = 17<\/p>\n\n\n\n 17 is a prime number and cannot be divided further.<\/p>\n\n\n\n So, the prime factorization of 425 is:<\/p>\n\n\n\n 425 = 5\u00b2 \u00d7 17<\/p>\n\n\n\n The prime factors of 272 are 2\u2074 \u00d7 17, and the prime factors of 425 are 5\u00b2 \u00d7 17. The only common prime factor between 272 and 425 is 17.<\/p>\n\n\n\n The HCF is the product of the lowest powers of all common prime factors. In this case, the only common prime factor is 17, and its lowest power is 17\u2071 where i = 1.<\/p>\n\n\n\n Therefore, the HCF of 272 and 425 is 17<\/strong>.<\/p>\n\n\n\n The Highest Common Factor of 272 and 425 is 17. This method involves breaking down each number into its prime factors, identifying the common factors, and then multiplying the lowest powers of those common factors to find the HCF.<\/p>\n","protected":false},"excerpt":{"rendered":" Find the HCF of the following numbers, using the prime factorization method: 272, 425 The correct answer and explanation is: To find the Highest Common Factor (HCF) of 272 and 425 using the prime factorization method, follow these steps: Step 1: Prime Factorization of 272 Start by dividing 272 by the smallest prime number, which […]<\/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-255071","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/255071","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=255071"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/255071\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=255071"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=255071"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=255071"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Prime Factorization of 272<\/h3>\n\n\n\n
Step 2: Prime Factorization of 425<\/h3>\n\n\n\n
Step 3: Identify Common Factors<\/h3>\n\n\n\n
Step 4: Determine the HCF<\/h3>\n\n\n\n
Conclusion<\/h3>\n\n\n\n