{"id":3344,"date":"2021-10-19T13:42:21","date_gmt":"2021-10-19T13:42:21","guid":{"rendered":"http:\/\/stgwebsite.mindspark.in\/wordpress\/?page_id=3344"},"modified":"2021-10-19T13:57:13","modified_gmt":"2021-10-19T13:57:13","slug":"multiples-of-12-with-examples-and-faq","status":"publish","type":"page","link":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/multiples-of-12-with-examples-and-faq\/","title":{"rendered":"MULTIPLES OF 12 WITH EXAMPLES AND FAQ"},"content":{"rendered":"<p>[et_pb_section fb_built=&#8221;1&#8243; module_class=&#8221;mainsec&#8221; _builder_version=&#8221;4.10.4&#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; 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|0px|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>MULTIPLES OF 12 WITH EXAMPLES AND FAQ<\/b><\/h1>\n<p>[\/et_pb_text][et_pb_text _builder_version=&#8221;4.11.2&#8243; _module_preset=&#8221;default&#8221; text_font_size=&#8221;16px&#8221; header_2_text_color=&#8221;gcid-70a40ab1-38f4-4842-b1ac-1e69b0045607&#8243; custom_padding=&#8221;|15px||4px|false|false&#8221; hover_enabled=&#8221;0&#8243; global_colors_info=&#8221;{%22gcid-70a40ab1-38f4-4842-b1ac-1e69b0045607%22:%91%22header_2_text_color%22%93}&#8221; sticky_enabled=&#8221;0&#8243;]<\/p>\n<h2><b>MULTIPLES OF 12<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">Any number that can be expressed in the form of 12q where q is an integer or a natural number,\u00a0 is a multiple of 12.<\/span> <span style=\"font-weight: 400;\">For example, 12, 24, 36, 48, 60, 72 and 84 are some multiples of 12.<\/span><\/p>\n<p>&nbsp;<\/p>\n<h3><b>Definition of multiple<\/b><\/h3>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-3335 alignnone \" src=\"https:\/\/eistudymaterial.s3.amazonaws.com\/21a-300x75.png\" alt=\"\" width=\"520\" height=\"130\" srcset=\"https:\/\/eistudymaterial.s3.amazonaws.com\/21a-300x75.png 300w, https:\/\/eistudymaterial.s3.amazonaws.com\/21a-480x120.png 480w, https:\/\/eistudymaterial.s3.amazonaws.com\/21a.png 528w\" sizes=\"(max-width: 520px) 100vw, 520px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">For example, 48 is a multiple of 12 as 48 = 12 \u00d7 4.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Here, 48 is also a multiple of 4.<\/span><span style=\"font-weight: 400;\">\u00a0<\/span><\/p>\n<p><b><i>Note: Here b is multiple of a, whereas n and a are factors of b. With respect to the above example<\/i><\/b><\/p>\n<p><b><i>4 and 12 are factors of 48.<\/i><\/b><\/p>\n<p>&nbsp;<\/p>\n<h2><b>Table of 12<\/b><b><i>\u00a0<\/i><\/b><\/h2>\n<table style=\"width: 191px;\">\n<tbody>\n<tr>\n<td style=\"width: 181px;\"><strong>Multiplication of 12 with other numbers<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 181px;\"><span style=\"font-weight: 400;\">12 \u00d7 1 = 12<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 181px;\"><span style=\"font-weight: 400;\">12 \u00d7 2 = 24<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 181px;\"><span style=\"font-weight: 400;\">12 \u00d7 3 = 36<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 181px;\"><span style=\"font-weight: 400;\">12 \u00d7 4 = 48<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 181px;\"><span style=\"font-weight: 400;\">12 \u00d7 5 = 60<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 181px;\"><span style=\"font-weight: 400;\">12 \u00d7 6 = 72<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 181px;\"><span style=\"font-weight: 400;\">12 \u00d7 7 = 84<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 181px;\"><span style=\"font-weight: 400;\">12 \u00d7 8 = 96<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 181px;\"><span style=\"font-weight: 400;\">12 \u00d7 9 = 108<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 181px;\"><span style=\"font-weight: 400;\">12 \u00d7 10 = 120<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 181px;\"><span style=\"font-weight: 400;\">12 \u00d7 11 = 132<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 181px;\"><span style=\"font-weight: 400;\">12 \u00d7 12 = 144<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><span style=\"font-weight: 400;\">Hence,12, 24, 36, 48, 60, &#8230;. and so on are 12\u2019s multiples.<\/span><\/p>\n<p>&nbsp;<\/p>\n<h2><b>Some useful identities of multiples are:<\/b><\/h2>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">The first multiple of all numbers is the number itself, hence every number is a multiple of itself. For example, 12\u00d71=12<\/span><span style=\"font-weight: 400;\">12 is a multiple of itself.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">The multiples of a number is an infinite chain.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">the multiple of a number is either greater than or equal to the number itself.<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">For example,12 \u00d7 1 = 12(12 = 12)<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a012 \u00d7 2 = 24(24 &gt; 12)<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Multiples of an even number are always even because the product of any number with an even number gives another even number.<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u00a0<\/span><\/p>\n<p><b>EXAMPLES<\/b><\/p>\n<p><strong>Example 1<\/strong><span style=\"font-weight: 400;\"><strong>:<\/strong> Are all multiples of 12 multiples of 4 also?<\/span><\/p>\n<p><strong>Solution<\/strong><span style=\"font-weight: 400;\"><strong>:<\/strong> We know the multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40&#8230; and so on.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Similarly, 12, 24, 36, 48, 60, 72\u2026 and so on are 12\u2019s multiples.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Hence the multiples of 12 are multiples of 4 also.<\/span><\/p>\n<p><b><i>Note: the same isn\u2019t true in the case of the reverse statement as all multiples of 4 are not the multiple of 12. For example, 16 is a multiple of 4 but it\u2019s not a multiple of 12.<\/i><\/b><\/p>\n<p>&nbsp;<\/p>\n<p><strong>Example 2:<\/strong> <span style=\"font-weight: 400;\">Soumya wants to give 2 gifts to each teacher on Teachers Day. Soumya has 12 teachers in total. How many gifts does Soumya need to buy?<\/span><\/p>\n<p><strong>Solution: <\/strong><span style=\"font-weight: 400;\">There are 12 teachers. Hence Soumya will buy 12 \u00d7 2 = 24 gifts for her teachers.<\/span><\/p>\n<p>&nbsp;<\/p>\n<p><strong>Example 3<\/strong><span style=\"font-weight: 400;\"><strong>:<\/strong> Rita got an order to make 6 bracelets, in each bracelet she uses 12 pearls and 11 crystals. How many pearls and crystals are required to complete the order?<\/span><\/p>\n<p><strong>Solution<\/strong><span style=\"font-weight: 400;\"><strong>:<\/strong> Rita has an order of 6 bracelets. In each bracelet, there are 12 pearls and 11 crystals.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Hence the total number of pearls = 12 <\/span><span style=\"font-weight: 400;\">\u00d7 <\/span><span style=\"font-weight: 400;\">6 = 72<\/span><\/p>\n<p><span style=\"font-weight: 400;\">And the total number of crystals = 11 <\/span><span style=\"font-weight: 400;\">\u00d7 <\/span><span style=\"font-weight: 400;\">6 = 66.\u00a0<\/span><\/p>\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; 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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;4.10.7&#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=\"http:\/\/stgwebsite.mindspark.in\/wordpress\/math-concepts\/#geometry\" class=\"otherc\">Geometry<\/a><\/div>\n<div class=\"trr\"><a href=\"http:\/\/stgwebsite.mindspark.in\/wordpress\/math-concepts\/#trigonometry\" class=\"otherc\">Trigonometry<\/a><\/div>\n<div class=\"trr\"><a href=\"http:\/\/stgwebsite.mindspark.in\/wordpress\/math-concepts\/#operations\" class=\"otherc\">Operations<\/a><\/div>\n<div class=\"trr\"><a href=\"http:\/\/stgwebsite.mindspark.in\/wordpress\/math-concepts\/#numbers\" class=\"otherc\">Numbers<\/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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_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;4.11.2&#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><b>1. How do you find the multiples of 12?<\/b><\/p>\n<p><span style=\"font-weight: 400;\">To find the multiples, multiply any number by 12. For example, multiplication of 12 by 13 gives 156, where 156 is a multiple of 12.<\/span><\/p>\n<p><b>2. What are the factors and multiples of 12?<\/b><\/p>\n<p><span style=\"font-weight: 400;\">12 = 6\u00d72\u00d71,12 = 4\u00d73\u00d71 and 12 =3\u00d72\u00d72\u00d71, hence the factors of 12 are 1, 2, 3, 4 and 6.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">12, 24, 36, 48, 60, 72,84\u2026and so on are the multiples of 12.<\/span><\/p>\n<p><b>3. Are 12\u2019s multiples always even?<\/b><\/p>\n<p><span style=\"font-weight: 400;\">Yes, since the multiplication of any number with even numbers results in an even number. 12 is an even number so its multiples are also even.<\/span><\/p>\n<p><b>4. Is 4 a multiple or a factor of 12?<\/b><\/p>\n<p><span style=\"font-weight: 400;\">4 is a factor of 12 whereas 12 is a multiple of 4.<\/span><\/p>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>MULTIPLES OF 12 WITH EXAMPLES AND FAQMULTIPLES OF 12 Any number that can be expressed in the form of 12q where q is an integer or a natural number,\u00a0 is a multiple of 12. For example, 12, 24, 36, 48, 60, 72 and 84 are some multiples of 12. &nbsp; Definition of multiple For example, [&hellip;]<\/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>MULTIPLES OF 12 WITH EXAMPLES AND FAQ - mydomain<\/title>\n<meta name=\"description\" content=\"The numbers which can be divided by 12 or are its product are multiples of 12. 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