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Some important facts about the factors of the number 72 are given below.<\/span><\/b><\/p>\n Factors of 72 are the numbers that divide it wholly without leaving any remainder. Every number is completely divisible by 1 and the number itself. So, the two factors will be 1 and the number itself, which is 72.\u00a0<\/span><\/b><\/p>\n <\/span><\/p>\n To find other factors, we will do the divisibility test.<\/span><\/p>\n Using the divisibility rules from 1 to 10, we find that 72 is divisible by 2, 3, 4, 6, 8, and 9. By dividing 72 with these numbers, we can find other factors.<\/span><\/p>\n So, divide 72 with 2; we get (72 \u00f7 2) = 36 as the quotient and zero as the remainder.<\/span><\/p>\n Since the quotient is 36 and the remainder is 0. So, 72 will be completely divisible by quotient 36 also. Therefore, 36 is also a factor of 72.<\/span><\/p>\n Similarly, when we divide 72 by 3, 4, 6, and 8, we get 24, 18, 12 and 9, respectively. All these numbers are the required factors.<\/span><\/b><\/p>\n Therefore, we see that all the factors of the number 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.<\/span><\/p>\n <\/p>\n To find the pair factors, we will have to find pairs of such numbers whose product is 72. These pairs are –\u00a0<\/span><\/p>\n 1 \u00d7 72 = 72<\/span><\/p>\n 2 \u00d7 36 = 72<\/span><\/p>\n 3 \u00d7 24 = 72<\/span><\/p>\n 4 \u00d7 18 = 72<\/span><\/p>\n 6 \u00d7 12 = 72<\/span><\/p>\n 8 \u00d7 9 = 72<\/span><\/p>\n \u00a0<\/b><\/p>\n Hence, the positive pair factors are (1, 72), (2, 36), (3, 24), (4, 18), (6, 12), and (8, 9).<\/span><\/p>\n Similarly, the negative pair factors will be (-1, -72), (-2, -36), (-3, -24), (-4, -18), (-6, -12), and (-8, -9). It is because the product of two negative numbers is a positive number.<\/span><\/p>\n <\/p>\n To find the prime factors, we will have to divide 72 by prime numbers till the quotient obtained is 1. Let\u2019s understand how.\u00a0<\/span><\/p>\n The smallest prime factor of 72 is 2(because 72 is an even number). So divide 72 by 2, and we get;<\/span><\/p>\n \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a072\/2 = 36<\/span><\/p>\n The smallest prime factor of 36 is also 2. Now divide 36 by 2, and we get;<\/span><\/p>\n \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a036\/2 = 18<\/span><\/p>\n Similarly, divide 18 by 2, and we get 9.\u00a0<\/span><\/p>\n Then divide 9 by 3, and we get 3.<\/span><\/p>\n Finally, divide 3 by 3, and we get 1.<\/span><\/p>\n Now, we can\u2019t divide 1 by any further by prime factors.\u00a0<\/span><\/p>\n \u00a0<\/b><\/p>\n Therefore, prime factorization of 72 is equal to (2 x 2 x 2 x 3 x 3) or \\left(2^{3} \\times 3^{2}\\right)<\/span>.<\/span><\/p>\n <\/span><\/p>\n <\/b><\/p>\n Solution:<\/strong><\/p>\n 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72 are the factors of the number 72.<\/span><\/p>\n So, the sum of these factors = 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 18 + 24 + 36 + 72 = 195<\/span><\/p>\n Therefore, 195 is the required answer.<\/span><\/p>\n <\/p>\n Solution:<\/strong> <\/span><\/p>\n 18 and 24 are the factors of 72 among the given numbers since these two numbers divide 72 wholly without leaving any remainder.<\/span><\/p>\n [\/et_pb_text][\/et_pb_column][et_pb_column type=”2_5″ module_id=”stickysideR” admin_label=”Column R” _builder_version=”4.10.4″ _module_preset=”default” background_color=”#fdefe0″ custom_padding=”25px|25px|25px|25px|true|true” sticky_position=”top” sticky_offset_top=”-280px” sticky_limit_top=”row” sticky_limit_bottom=”row” sticky_position_tablet=”none” sticky_position_phone=”none” sticky_position_last_edited=”on|desktop” sticky_limit_bottom_tablet=”” sticky_limit_bottom_phone=”” sticky_limit_bottom_last_edited=”on|phone” border_radii=”on|15px|15px|15px|15px” box_shadow_style=”preset3″ global_colors_info=”{}”][et_pb_image src=”https:\/\/eistudymaterial.s3.amazonaws.com\/1080×1080.png” alt=”Free Trial banner” title_text=”Mindspark Free Trial Banner” url=”https:\/\/mindspark.in\/free-trial” align=”center” module_class=”adsimg” _builder_version=”4.11.1″ _module_preset=”default” custom_padding=”||||false|false” border_radii=”on|10px|10px|10px|10px” global_colors_info=”{}” transform_styles__hover_enabled=”on|hover” transform_scale__hover_enabled=”on|hover” transform_translate__hover_enabled=”on|desktop” transform_rotate__hover_enabled=”on|desktop” transform_skew__hover_enabled=”on|desktop” transform_origin__hover_enabled=”on|desktop” transform_scale__hover=”102%|102%”][\/et_pb_image][et_pb_text admin_label=”Explore Other Topics [\/et_pb_text][et_pb_text _builder_version=”4.10.7″ _module_preset=”default” text_line_height=”2.2em” link_font_size=”16px” custom_margin=”||0px||false|false” custom_padding=”10px|15px|10px|28px|true|false” locked=”off” global_colors_info=”{}”]<\/p>\n [\/et_pb_text][et_pb_text admin_label=”Related Concepts [\/et_pb_text][et_pb_text _builder_version=”4.13.1″ _module_preset=”default” text_line_height=”2.2em” link_font_size=”16px” custom_margin=”||0px||false|false” custom_padding=”10px|15px|10px|28px|true|false” locked=”off” global_colors_info=”{}”]<\/p>\n [\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row admin_label=”Row for space” _builder_version=”4.10.6″ _module_preset=”default” locked=”off” global_colors_info=”{}”][et_pb_column type=”4_4″ _builder_version=”4.9.11″ _module_preset=”default” global_colors_info=”{}”][et_pb_divider show_divider=”off” _builder_version=”4.10.4″ _module_preset=”default” global_colors_info=”{}”][\/et_pb_divider][\/et_pb_column][\/et_pb_row][\/et_pb_section][et_pb_section fb_built=”1″ admin_label=”banner and faq Section” module_class=”mainsec2″ _builder_version=”4.10.4″ _module_preset=”default” custom_padding=”40px||0px||false|false” global_colors_info=”{}”][et_pb_row use_custom_gutter=”on” gutter_width=”1″ make_equal=”on” disabled_on=”on|on|off” admin_label=”banner Row” _builder_version=”4.10.4″ _module_preset=”default” background_color=”#fff7d6″ width=”100%” max_width=”1310px” height=”134px” custom_margin=”||50px||false|false” custom_padding=”12px||12px||true|false” border_radii=”on|11px|11px|11px|11px” locked=”off” collapsed=”off” global_colors_info=”{}”][et_pb_column type=”4_4″ _builder_version=”4.9.10″ _module_preset=”default” global_colors_info=”{}”][et_pb_image src=”https:\/\/stgwebsite.mindspark.in\/wordpress\/wp-content\/uploads\/2021\/08\/calloutImage.png” title_text=”calloutImage” show_bottom_space=”off” admin_label=”Image” module_class=”img1″ _builder_version=”4.10.8″ _module_preset=”default” width=”25px” height=”60px” custom_padding=”2px||2px||true|false” global_colors_info=”{}”][\/et_pb_image][et_pb_text module_class=”ftstyle” _builder_version=”4.9.10″ _module_preset=”default” text_orientation=”center” global_colors_info=”{}”]<\/p>\n\n
<\/h2>\n
How To Calculate the Factors?<\/b><\/h2>\n
Pair Factors of 72<\/b><\/h2>\n
Prime Factorization of 72<\/b><\/h2>\n
Examples<\/b><\/h2>\n
1. What is the sum of all the factors of the number 72?<\/span><\/h3>\n
2. Find the factors of 72 among the numbers given below:<\/span><\/h3>\n
\u00a0 \u00a0 \u00a016, 18, 20, 22, 24<\/span><\/h3>\n
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\n” _builder_version=”4.9.11″ _module_preset=”default” header_font=”|700|||||||” header_font_size=”25px” text_orientation=”center” custom_margin=”0px||0px||true|false” custom_padding=”8px|15px|0px|15px|false|true” locked=”off” global_colors_info=”{}”]<\/p>\nRelated Concepts<\/h1>\n