{"id":8660,"date":"2024-01-07T22:07:25","date_gmt":"2024-01-07T16:37:25","guid":{"rendered":"https:\/\/physicscatalyst.com\/article\/?p=8660"},"modified":"2024-01-07T22:07:30","modified_gmt":"2024-01-07T16:37:30","slug":"factors-of-12","status":"publish","type":"post","link":"https:\/\/physicscatalyst.com\/article\/factors-of-12\/","title":{"rendered":"Factors of 12 | Prime Factorization of 12"},"content":{"rendered":"\n

Number 12 is a composite number and we will find how to find the factors of 12. We will also see techniques to find out the Prime factorization of 12 easily<\/p>\n\n\n\n

Factors of 12<\/h2>\n\n\n\n

A factor of a number is an exact divisor of that number. So factors of 12 are the numbers which are exact divisors of 12.
Factors of any number can be found by finding the number which divides the number without remainder, or alternatively, numbers that can multiply together to equal the target number being converted <\/p>\n\n\n\n

Let us check how to find the factors <\/p>\n\n\n\n

Method -1<\/strong><\/p>\n\n\n\n

Factors can be found by finding the numbers which when multiplied together give the number 12. Now to find the numbers we can start with the integer 1 and keep increasing it by 1 and we will discard where the other number cannot be found. We will stop at a point where we start seeing the repetition of numbers We will find the multiplication one by one and start writing it down. So
$12 = 1 \\times 12$
$12 = 2 \\times 6 $
$12= 3 \\times 4 $
$12= 4 \\times 3 $
We can stop here as 4 and 3 have occurred earlier.
So factors are 1,12,2,6,3,4
Putting the factors in ascending order, we get
1,2,3,4,6,12<\/p>\n\n\n\n

Method -2<\/strong><\/p>\n\n\n\n

Factors can be found by finding the numbers which divide the number without a remainder. We can start with the following sequence: 1,2,3,4… and go till the mid-point of that number.
No Remainder
$12\/2 = 6$ . No Remainder
$12\/3 = 4$. No remainder
$12\/4=3$. No remainder.
$12\/6=2 $. No remainder.
$12\/12=1 $. No remainder.
So factors are 1,2,3,4,6,12<\/p>\n\n\n\n

Hence Factors of 12 are 1,2,3,4,6,12<\/strong><\/p>\n\n\n\n

prime factorization of 12<\/h3>\n\n\n\n

When a number is expressed as a product of its factors we say that the number has been factorized. When the factorization contains the prime number only then it is called prime factorization.<\/p>\n\n\n\n

Now let us look at how to find the prime factorization
There are two methods that can be used.<\/p>\n\n\n\n

Division method<\/strong>
We divide the number 12 by 2, 3,4,5,6,7, etc. in this order repeatedly so long as the quotient is divisible by that number.
Thus, the prime factorization is $2 \\times 2 \\times 3$ or $2^2 \\times 3$<\/p>\n\n\n\n

\"\"<\/a><\/figure>\n\n\n\n

Factor Tree Method<\/strong>
In this method, we first think about any two factors, and then we think about two factors of respective numbers. This goes till the factors are prime.
We can have many factor trees depending on the starting point but all of them will show the same prime factors.
Let’s check the different Factor trees for number 12<\/p>\n\n\n\n

\"\"<\/a><\/figure>\n\n\n\n

Hence the Prime Factorization is $2^2 \\times 3$<\/p>\n\n\n\n

Factor of 12 in pair<\/h3>\n\n\n\n

We can find the factors of number 12 in pairs,\u00a0by multiplying two numbers in a pair to get the original number as 12, such as:
$12 = 1 \\times 12$
$12 = 2 \\times 6 $
$12= 3 \\times 4 $
So factor in pair are (1,12) , (2,6) ,(3,4)<\/p>\n\n\n\n

Hope you like the post<\/p>\n\n\n\n

Also Reads<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"

Number 12 is a composite number and we will find how to find the factors of 12. We will also see techniques to find out the Prime factorization of 12 easily Factors of 12 A factor of a number is an exact divisor of that number. So factors of 12 are the numbers which are […]<\/p>\n","protected":false},"author":8,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_uag_custom_page_level_css":"","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":"","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":"set","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":[498],"tags":[],"class_list":["post-8660","post","type-post","status-publish","format-standard","hentry","category-maths"],"yoast_head":"\nFactors of 12 | Prime Factorization of 12 - physicscatalyst's Blog<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/physicscatalyst.com\/article\/factors-of-12\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Factors of 12 | Prime Factorization of 12 - physicscatalyst's Blog\" \/>\n<meta property=\"og:description\" content=\"Number 12 is a composite number and we will find how to find the factors of 12. We will also see techniques to find out the Prime factorization of 12 easily Factors of 12 A factor of a number is an exact divisor of that number. So factors of 12 are the numbers which are […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/physicscatalyst.com\/article\/factors-of-12\/\" \/>\n<meta property=\"og:site_name\" content=\"physicscatalyst's Blog\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/PhysicsCatalyst\" \/>\n<meta property=\"article:author\" content=\"https:\/\/www.facebook.com\/PhysicsCatalyst\" \/>\n<meta property=\"article:published_time\" content=\"2024-01-07T16:37:25+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2024-01-07T16:37:30+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2024\/01\/prime-factorization-of-12-using-division.png\" \/>\n<meta name=\"author\" content=\"physicscatalyst\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"physicscatalyst\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 minutes\" \/>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Factors of 12 | Prime Factorization of 12 - physicscatalyst's Blog","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/physicscatalyst.com\/article\/factors-of-12\/","og_locale":"en_US","og_type":"article","og_title":"Factors of 12 | Prime Factorization of 12 - physicscatalyst's Blog","og_description":"Number 12 is a composite number and we will find how to find the factors of 12. We will also see techniques to find out the Prime factorization of 12 easily Factors of 12 A factor of a number is an exact divisor of that number. So factors of 12 are the numbers which are […]","og_url":"https:\/\/physicscatalyst.com\/article\/factors-of-12\/","og_site_name":"physicscatalyst's Blog","article_publisher":"https:\/\/www.facebook.com\/PhysicsCatalyst","article_author":"https:\/\/www.facebook.com\/PhysicsCatalyst","article_published_time":"2024-01-07T16:37:25+00:00","article_modified_time":"2024-01-07T16:37:30+00:00","og_image":[{"url":"https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2024\/01\/prime-factorization-of-12-using-division.png","type":"","width":"","height":""}],"author":"physicscatalyst","twitter_misc":{"Written by":"physicscatalyst","Est. reading time":"3 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/physicscatalyst.com\/article\/factors-of-12\/#article","isPartOf":{"@id":"https:\/\/physicscatalyst.com\/article\/factors-of-12\/"},"author":{"name":"physicscatalyst","@id":"https:\/\/physicscatalyst.com\/article\/#\/schema\/person\/9b302efdc9b32e459cb1e61ab7506d3f"},"headline":"Factors of 12 | Prime Factorization of 12","datePublished":"2024-01-07T16:37:25+00:00","dateModified":"2024-01-07T16:37:30+00:00","mainEntityOfPage":{"@id":"https:\/\/physicscatalyst.com\/article\/factors-of-12\/"},"wordCount":438,"commentCount":0,"publisher":{"@id":"https:\/\/physicscatalyst.com\/article\/#organization"},"image":{"@id":"https:\/\/physicscatalyst.com\/article\/factors-of-12\/#primaryimage"},"thumbnailUrl":"https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2024\/01\/prime-factorization-of-12-using-division.png","articleSection":["Maths"],"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/physicscatalyst.com\/article\/factors-of-12\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/physicscatalyst.com\/article\/factors-of-12\/","url":"https:\/\/physicscatalyst.com\/article\/factors-of-12\/","name":"Factors of 12 | Prime Factorization of 12 - physicscatalyst's Blog","isPartOf":{"@id":"https:\/\/physicscatalyst.com\/article\/#website"},"primaryImageOfPage":{"@id":"https:\/\/physicscatalyst.com\/article\/factors-of-12\/#primaryimage"},"image":{"@id":"https:\/\/physicscatalyst.com\/article\/factors-of-12\/#primaryimage"},"thumbnailUrl":"https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2024\/01\/prime-factorization-of-12-using-division.png","datePublished":"2024-01-07T16:37:25+00:00","dateModified":"2024-01-07T16:37:30+00:00","breadcrumb":{"@id":"https:\/\/physicscatalyst.com\/article\/factors-of-12\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/physicscatalyst.com\/article\/factors-of-12\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/physicscatalyst.com\/article\/factors-of-12\/#primaryimage","url":"https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2024\/01\/prime-factorization-of-12-using-division.png","contentUrl":"https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2024\/01\/prime-factorization-of-12-using-division.png"},{"@type":"BreadcrumbList","@id":"https:\/\/physicscatalyst.com\/article\/factors-of-12\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/physicscatalyst.com\/article\/"},{"@type":"ListItem","position":2,"name":"Maths","item":"https:\/\/physicscatalyst.com\/article\/maths\/"},{"@type":"ListItem","position":3,"name":"Factors of 12 | Prime Factorization of 12"}]},{"@type":"WebSite","@id":"https:\/\/physicscatalyst.com\/article\/#website","url":"https:\/\/physicscatalyst.com\/article\/","name":"physicscatalyst's Blog","description":"Learn free for class 9th, 10th science\/maths , 12th and IIT-JEE Physics and maths.","publisher":{"@id":"https:\/\/physicscatalyst.com\/article\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/physicscatalyst.com\/article\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":"Organization","@id":"https:\/\/physicscatalyst.com\/article\/#organization","name":"physicscatalyst","url":"https:\/\/physicscatalyst.com\/article\/","logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/physicscatalyst.com\/article\/#\/schema\/logo\/image\/","url":"https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2024\/08\/cropped-logo-1.jpg","contentUrl":"https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2024\/08\/cropped-logo-1.jpg","width":96,"height":96,"caption":"physicscatalyst"},"image":{"@id":"https:\/\/physicscatalyst.com\/article\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/PhysicsCatalyst","https:\/\/x.com\/physicscatalyst","https:\/\/www.youtube.com\/user\/thephysicscatalyst","https:\/\/www.instagram.com\/physicscatalyst\/"]},{"@type":"Person","@id":"https:\/\/physicscatalyst.com\/article\/#\/schema\/person\/9b302efdc9b32e459cb1e61ab7506d3f","name":"physicscatalyst","sameAs":["https:\/\/physicscatalyst.com","https:\/\/www.facebook.com\/PhysicsCatalyst","https:\/\/x.com\/physicscatalyst"]}]}},"uagb_featured_image_src":{"full":false,"thumbnail":false,"medium":false,"medium_large":false,"large":false,"1536x1536":false,"2048x2048":false,"shareaholic-thumbnail":false},"uagb_author_info":{"display_name":"physicscatalyst","author_link":"https:\/\/physicscatalyst.com\/article\/author\/physicscatalyst\/"},"uagb_comment_info":0,"uagb_excerpt":"Number 12 is a composite number and we will find how to find the factors of 12. We will also see techniques to find out the Prime factorization of 12 easily Factors of 12 A factor of a number is an exact divisor of that number. So factors of 12 are the numbers which are…","_links":{"self":[{"href":"https:\/\/physicscatalyst.com\/article\/wp-json\/wp\/v2\/posts\/8660","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/physicscatalyst.com\/article\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/physicscatalyst.com\/article\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/physicscatalyst.com\/article\/wp-json\/wp\/v2\/users\/8"}],"replies":[{"embeddable":true,"href":"https:\/\/physicscatalyst.com\/article\/wp-json\/wp\/v2\/comments?post=8660"}],"version-history":[{"count":1,"href":"https:\/\/physicscatalyst.com\/article\/wp-json\/wp\/v2\/posts\/8660\/revisions"}],"predecessor-version":[{"id":8663,"href":"https:\/\/physicscatalyst.com\/article\/wp-json\/wp\/v2\/posts\/8660\/revisions\/8663"}],"wp:attachment":[{"href":"https:\/\/physicscatalyst.com\/article\/wp-json\/wp\/v2\/media?parent=8660"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/physicscatalyst.com\/article\/wp-json\/wp\/v2\/categories?post=8660"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/physicscatalyst.com\/article\/wp-json\/wp\/v2\/tags?post=8660"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}