{"id":2008,"date":"2021-09-15T11:27:14","date_gmt":"2021-09-15T11:27:14","guid":{"rendered":"http:\/\/stgwebsite.mindspark.in\/wordpress\/?page_id=2008"},"modified":"2022-01-02T06:24:10","modified_gmt":"2022-01-02T06:24:10","slug":"factors-of-the-number-12","status":"publish","type":"page","link":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/factors-of-the-number-12\/","title":{"rendered":"FACTORS OF THE NUMBER 12"},"content":{"rendered":"<p>[et_pb_section fb_built=&#8221;1&#8243; admin_label=&#8221;Section&#8221; module_class=&#8221;mainsec&#8221; _builder_version=&#8221;4.11.1&#8243; _module_preset=&#8221;default&#8221; background_color=&#8221;#e0f2fd&#8221; z_index=&#8221;1&#8243; custom_padding=&#8221;5px||5px||true|false&#8221; locked=&#8221;off&#8221; collapsed=&#8221;off&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_row column_structure=&#8221;3_5,2_5&#8243; custom_padding_last_edited=&#8221;on|phone&#8221; _builder_version=&#8221;4.10.6&#8243; _module_preset=&#8221;default&#8221; background_color=&#8221;#FFFFFF&#8221; width=&#8221;100%&#8221; max_width=&#8221;1310px&#8221; custom_padding=&#8221;|51px|40px|51px|false|true&#8221; custom_padding_tablet=&#8221;&#8221; custom_padding_phone=&#8221;|40px|30px|40px|false|true&#8221; border_radii=&#8221;on|10px|10px|10px|10px&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column type=&#8221;3_5&#8243; admin_label=&#8221;Column L&#8221; _builder_version=&#8221;4.9.10&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_text admin_label=&#8221;Acute Angles<br \/>\n&#8221; _builder_version=&#8221;4.11.2&#8243; _module_preset=&#8221;default&#8221; header_font=&#8221;|700|||||||&#8221; header_text_align=&#8221;left&#8221; header_font_size=&#8221;50px&#8221; header_line_height=&#8221;1.18em&#8221; custom_padding=&#8221;|0px||4px|false|false&#8221; header_font_size_tablet=&#8221;&#8221; header_font_size_phone=&#8221;35px&#8221; header_font_size_last_edited=&#8221;on|phone&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h1><b>Factors of the number 12<\/b><\/h1>\n<p>[\/et_pb_text][et_pb_text admin_label=&#8221;Text&#8221; _builder_version=&#8221;4.11.3&#8243; _module_preset=&#8221;default&#8221; text_font_size=&#8221;16px&#8221; header_text_color=&#8221;#000000&#8243; header_2_text_color=&#8221;#870909&#8243; header_3_text_color=&#8221;gcid-c32b01a8-824d-42b7-9316-c38ff0e74055&#8243; custom_padding=&#8221;|15px||4px|false|false&#8221; global_colors_info=&#8221;{%22gcid-c32b01a8-824d-42b7-9316-c38ff0e74055%22:%91%22header_3_text_color%22%93}&#8221;]<\/p>\n<h2><b>Factors of 12<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">When a number can be completely divided with another number without any remainder, the other number is termed as a factor of the original number. The numbers that divide 12 completely are its factors.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Therefore, the numbers that divide 12 completely (factors) are 1, 2, 3, 4, 6 and 12. The factors can be presented in ordered pairs as well which are (1, 12), (2, 6) and (3, 4).<\/span><\/p>\n<p><span style=\"font-weight: 400;\">1 x 12 = 12<br \/>2 x 6 = 12<br \/>3 x 4 = 12<\/span><\/p>\n<p><span style=\"font-weight: 400;\"><\/span><\/p>\n<h2><b>What are the prime factors of 12?<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">Factors can be composite numbers as well. In the case of the number 12, 4 and 6 are composite factors. Prime factors, however, are the numbers that are factors but are prime. What is a prime number? It is a number which has only two factors which are one and the number itself. The prime factors in case of 12 are 2 and 3.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Composite Factors of 12 &#8211; 4, 6, 12<br \/>Prime Factors of 12 &#8211; 2, 3<\/span><span style=\"font-weight: 400;\"><\/span><\/p>\n<p><span style=\"font-weight: 400;\">Since 1 is neither a prime number nor a composite number, so we do not include it in any list. Let us now understand how to calculate prime factors of any number.<\/span><\/p>\n<h3><b>How to find the prime factors of a number?<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">There are various methods but we will understand about prime factorizations methods.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Prime factorization methods are as follows:<\/span><\/p>\n<ul>\n<li aria-level=\"1\"><b><i>Prime factorization by factor tree method<\/i><\/b><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">In this method, we take the number 12 as the root of the tree and keep on breaking down the composite factors till we are left with only prime factors. Let us take a look at how to find its factors using the factor tree method.<\/span><\/p>\n<p><span style=\"font-weight: 400;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/eistudymaterial.s3.amazonaws.com\/Utitdersdled-300x248.png\" width=\"400\" height=\"331\" alt=\"\" class=\"wp-image-3462 alignnone size-medium\" srcset=\"https:\/\/eistudymaterial.s3.amazonaws.com\/Utitdersdled-300x248.png 300w, https:\/\/eistudymaterial.s3.amazonaws.com\/Utitdersdled.png 429w\" sizes=\"(max-width: 400px) 100vw, 400px\" \/><\/span><\/p>\n<p><span style=\"font-weight: 400;\">Therefore, 12 = 3 x 2 x 2 = 3 x <\/span><span style=\"font-weight: 400;\">2<\/span><span style=\"font-weight: 400;\"><sup style=\"font-size: 10px;\">2<\/sup><\/span><b><i><\/i><\/b><\/p>\n<ul>\n<li aria-level=\"1\"><b><i>Prime factorization using the long division method<\/i><\/b><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">In this case, we choose the least possible prime number and start dividing the number and keep on dividing till the answer is 1. Let us see at how it is done:<\/span><\/p>\n<p><span style=\"font-weight: 400;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/eistudymaterial.s3.amazonaws.com\/Utitdersdled.png\" width=\"243\" height=\"284\" alt=\"\" class=\"wp-image-3463 alignnone size-full\" \/><\/span><\/p>\n<p><span style=\"font-weight: 400;\">So, we started dividing with the number 2 and kept on dividing the quotient we got till we reached 1.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">This gives the same answer as the factor tree method.\u00a0<\/span><\/p>\n<p>[\/et_pb_text][et_pb_text disabled_on=&#8221;on|on|on&#8221; admin_label=&#8221;Sample Questions<br \/>\n&#8221; _builder_version=&#8221;4.11.1&#8243; _module_preset=&#8221;default&#8221; header_font=&#8221;|700|||||||&#8221; header_font_size=&#8221;28px&#8221; custom_padding=&#8221;|0px||4px|false|false&#8221; disabled=&#8221;on&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h1>Practice Multiple Choice Questions<\/h1>\n<p>[\/et_pb_text][et_pb_text disabled_on=&#8221;on|on|on&#8221; admin_label=&#8221;Question 1&#8243; _builder_version=&#8221;4.11.1&#8243; _module_preset=&#8221;default&#8221; background_color=&#8221;#FFFFFF&#8221; custom_padding=&#8221;25px|25px|25px|25px|true|true&#8221; border_radii=&#8221;on|15px|15px|15px|15px&#8221; border_width_all=&#8221;2px&#8221; border_color_all=&#8221;#000000&#8243; border_width_top=&#8221;4px&#8221; border_color_top=&#8221;#E02B20&#8243; disabled=&#8221;on&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<div class=\"qmanage\">\n<div class=\"qq\"><b>Question.<\/b><\/p>\n<ol>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">What are the factors of 12?<\/span><\/li>\n<\/ol>\n<p><span style=\"font-weight: 400;\">Ans: The numbers that divide 12 completely (factors) are 1, 2, 3, 4, 6 and 12.<\/span><\/p>\n<\/div>\n<\/div>\n<p>[\/et_pb_text][\/et_pb_column][et_pb_column type=&#8221;2_5&#8243; module_id=&#8221;stickysideR&#8221; admin_label=&#8221;Column R&#8221; _builder_version=&#8221;4.10.4&#8243; _module_preset=&#8221;default&#8221; background_color=&#8221;#fdefe0&#8243; custom_padding=&#8221;25px|25px|25px|25px|true|true&#8221; sticky_position=&#8221;top&#8221; sticky_offset_top=&#8221;-280px&#8221; sticky_limit_top=&#8221;row&#8221; sticky_limit_bottom=&#8221;row&#8221; sticky_position_tablet=&#8221;none&#8221; sticky_position_phone=&#8221;none&#8221; sticky_position_last_edited=&#8221;on|desktop&#8221; sticky_limit_bottom_tablet=&#8221;&#8221; sticky_limit_bottom_phone=&#8221;&#8221; sticky_limit_bottom_last_edited=&#8221;on|phone&#8221; border_radii=&#8221;on|15px|15px|15px|15px&#8221; box_shadow_style=&#8221;preset3&#8243; global_colors_info=&#8221;{}&#8221;][et_pb_image src=&#8221;https:\/\/eistudymaterial.s3.amazonaws.com\/1080&#215;1080.png&#8221; alt=&#8221;Free Trial banner&#8221; title_text=&#8221;Mindspark Free Trial Banner&#8221; url=&#8221;https:\/\/mindspark.in\/free-trial&#8221; align=&#8221;center&#8221; module_class=&#8221;adsimg&#8221; _builder_version=&#8221;4.11.1&#8243; _module_preset=&#8221;default&#8221; custom_padding=&#8221;||||false|false&#8221; border_radii=&#8221;on|10px|10px|10px|10px&#8221; global_colors_info=&#8221;{}&#8221; transform_styles__hover_enabled=&#8221;on|hover&#8221; transform_scale__hover_enabled=&#8221;on|hover&#8221; transform_translate__hover_enabled=&#8221;on|desktop&#8221; transform_rotate__hover_enabled=&#8221;on|desktop&#8221; transform_skew__hover_enabled=&#8221;on|desktop&#8221; transform_origin__hover_enabled=&#8221;on|desktop&#8221; transform_scale__hover=&#8221;102%|102%&#8221;][\/et_pb_image][et_pb_text admin_label=&#8221;Explore Other Topics<br \/>\n&#8221; _builder_version=&#8221;4.9.11&#8243; _module_preset=&#8221;default&#8221; header_font=&#8221;|700|||||||&#8221; header_font_size=&#8221;25px&#8221; text_orientation=&#8221;center&#8221; custom_margin=&#8221;0px||0px||true|false&#8221; custom_padding=&#8221;8px|15px|0px|15px|false|true&#8221; locked=&#8221;off&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h1>Explore Other Topics<\/h1>\n<p>[\/et_pb_text][et_pb_text _builder_version=&#8221;4.13.1&#8243; _module_preset=&#8221;default&#8221; text_line_height=&#8221;2.2em&#8221; link_font_size=&#8221;16px&#8221; custom_margin=&#8221;||0px||false|false&#8221; custom_padding=&#8221;10px|15px|10px|28px|true|false&#8221; locked=&#8221;off&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<div>\n<div class=\"trr\"><a class=\"otherc\" href=\"http:\/\/stgwebsite.mindspark.in\/wordpress\/math-concepts\/#geometry\">Geometry<\/a><\/div>\n<div class=\"trr\"><a class=\"otherc\" href=\"http:\/\/stgwebsite.mindspark.in\/wordpress\/math-concepts\/#trigonometry\">Trigonometry<\/a><\/div>\n<div class=\"trr\"><a class=\"otherc\" href=\"http:\/\/stgwebsite.mindspark.in\/wordpress\/math-concepts\/#operations\">Operations<\/a><\/div>\n<div class=\"trr\"><a class=\"otherc\" href=\"http:\/\/stgwebsite.mindspark.in\/wordpress\/math-concepts\/#numbers\">Numbers<\/a><\/div>\n<\/div>\n<p>[\/et_pb_text][et_pb_text admin_label=&#8221;Related Concepts<br \/>\n&#8221; _builder_version=&#8221;4.9.11&#8243; _module_preset=&#8221;default&#8221; header_font=&#8221;|700|||||||&#8221; header_font_size=&#8221;25px&#8221; text_orientation=&#8221;center&#8221; custom_margin=&#8221;0px||0px||true|false&#8221; custom_padding=&#8221;8px|15px|0px|15px|false|true&#8221; locked=&#8221;off&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h1>Related Concepts<\/h1>\n<p>[\/et_pb_text][et_pb_text _builder_version=&#8221;4.13.1&#8243; _module_preset=&#8221;default&#8221; text_line_height=&#8221;2.2em&#8221; link_font_size=&#8221;16px&#8221; custom_margin=&#8221;||0px||false|false&#8221; custom_padding=&#8221;10px|15px|10px|28px|true|false&#8221; locked=&#8221;off&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<div>\n<div class=\"trr\"><a href=\"https:\/\/mindspark.in\/studymaterial\/math-concepts\/prime-factorisation-method\/\" class=\"otherc\">Prime Factorisation Method<\/a><\/div>\n<div class=\"trr\"><a href=\"https:\/\/mindspark.in\/studymaterial\/math-concepts\/factors-of-24-and-how-to-find-them\/\" class=\"otherc\">Factors of 24<\/a><\/div>\n<div class=\"trr\"><a href=\"https:\/\/mindspark.in\/studymaterial\/math-concepts\/36-its-factors-and-methods\/\" class=\"otherc\">Factors of 36<\/a><a href=\"#\" class=\"otherc\"><\/a><\/div>\n<\/div>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row admin_label=&#8221;Row for space&#8221; 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_module_preset=&#8221;default&#8221; background_color=&#8221;#fff7d6&#8243; width=&#8221;100%&#8221; max_width=&#8221;1310px&#8221; height=&#8221;134px&#8221; custom_margin=&#8221;||50px||false|false&#8221; custom_padding=&#8221;12px||12px||true|false&#8221; border_radii=&#8221;on|11px|11px|11px|11px&#8221; locked=&#8221;off&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column type=&#8221;4_4&#8243; _builder_version=&#8221;4.9.10&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_image src=&#8221;http:\/\/stgwebsite.mindspark.in\/wordpress\/wp-content\/uploads\/2021\/08\/calloutImage.png&#8221; title_text=&#8221;calloutImage&#8221; show_bottom_space=&#8221;off&#8221; admin_label=&#8221;Image&#8221; module_class=&#8221;img1&#8243; _builder_version=&#8221;4.9.10&#8243; _module_preset=&#8221;default&#8221; width=&#8221;25px&#8221; height=&#8221;60px&#8221; custom_padding=&#8221;2px||2px||true|false&#8221; global_colors_info=&#8221;{}&#8221;][\/et_pb_image][et_pb_text module_class=&#8221;ftstyle&#8221; _builder_version=&#8221;4.9.10&#8243; _module_preset=&#8221;default&#8221; text_orientation=&#8221;center&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<div class=\"ffmanage\">\n<div class=\"textmanagestyle\">\n<div class=\"fone\">\n<p>Ready to get started ?<\/p>\n<\/div>\n<div class=\"sone\">\n<p class=\"ffbtn\"><a href=\"https:\/\/mindspark.in\/free-trial\">Start Free Trial<\/a><\/p>\n<\/div>\n<\/div>\n<\/div>\n<p>[\/et_pb_text][et_pb_image src=&#8221;http:\/\/stgwebsite.mindspark.in\/wordpress\/wp-content\/uploads\/2021\/08\/down-circle.png&#8221; title_text=&#8221;down-circle&#8221; show_bottom_space=&#8221;off&#8221; align=&#8221;right&#8221; module_class=&#8221;img2&#8243; _builder_version=&#8221;4.9.10&#8243; _module_preset=&#8221;default&#8221; width=&#8221;44px&#8221; height=&#8221;18px&#8221; custom_padding=&#8221;2px||2px||true|false&#8221; global_colors_info=&#8221;{}&#8221;][\/et_pb_image][\/et_pb_column][\/et_pb_row][et_pb_row admin_label=&#8221;FAQ Row&#8221; _builder_version=&#8221;4.9.11&#8243; _module_preset=&#8221;default&#8221; width=&#8221;100%&#8221; max_width=&#8221;1310px&#8221; custom_padding=&#8221;|40px||40px|false|true&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column type=&#8221;4_4&#8243; _builder_version=&#8221;4.9.11&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_text admin_label=&#8221;FAQ&#8221; module_class=&#8221;faqstyl&#8221; _builder_version=&#8221;4.10.8&#8243; _module_preset=&#8221;default&#8221; text_font_size=&#8221;16px&#8221; header_font=&#8221;|700|||||||&#8221; header_text_align=&#8221;center&#8221; header_line_height=&#8221;2.5em&#8221; background_color=&#8221;#dbedc6&#8243; max_width=&#8221;80%&#8221; module_alignment=&#8221;center&#8221; custom_margin=&#8221;||||false|false&#8221; custom_padding=&#8221;30px|25px|30px|25px|true|true&#8221; border_radii=&#8221;on|10px|10px|10px|10px&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h1>Frequently Asked Questions<\/h1>\n<p><span style=\"font-weight: 400;\"><strong>1.<\/strong> What are the factors of 12?<\/span><\/p>\n<p><span style=\"font-weight: 400;\"><strong>Ans:<\/strong> The numbers that divide 12 completely (factors) are 1, 2, 3, 4, 6 and 12.<\/span><\/p>\n<p><span style=\"font-weight: 400;\"><strong>2.<\/strong> What are the prime factors of 12?<\/span><\/p>\n<p><span style=\"font-weight: 400;\"><strong>Ans:<\/strong> The prime factors of 12 are 2 and 3 as they are the only prime numbers among its factors.<\/span><\/p>\n<p><span style=\"font-weight: 400;\"><strong>3.<\/strong> Is 12 a prime number?<\/span><\/p>\n<p><span style=\"font-weight: 400;\"><strong>Ans:<\/strong> No. 12 has more than two factors. It is not a prime number but a composite number.<\/span><\/p>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Learn that the factors of 12 are 1, 2, 3, 4, 6 and 12 as well as how to find the prime factors of 12.<\/p>\n","protected":false},"author":7,"featured_media":0,"parent":714,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.6 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>FACTORS OF THE NUMBER 12 - mydomain<\/title>\n<meta name=\"description\" content=\"Learn that the factors of number 12 are 1, 2, 3, 4, 6 and 12 as well as how to find the prime factors of 12.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/factors-of-the-number-12\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"FACTORS OF THE NUMBER 12 - 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