[et_pb_section fb_built=”1″ admin_label=”Section” module_class=”mainsec” _builder_version=”4.10.4″ _module_preset=”default” background_color=”#e0f2fd” z_index=”1″ custom_padding=”5px||5px||true|false” locked=”off” collapsed=”off” global_colors_info=”{}”][et_pb_row column_structure=”3_5,2_5″ custom_padding_last_edited=”on|phone” _builder_version=”4.10.8″ _module_preset=”default” background_color=”#FFFFFF” width=”100%” max_width=”1310px” custom_padding=”|51px|40px|51px|false|true” custom_padding_tablet=”” custom_padding_phone=”|40px|30px|40px|false|true” border_radii=”on|10px|10px|10px|10px” global_colors_info=”{}”][et_pb_column type=”3_5″ admin_label=”Column L” _builder_version=”4.9.10″ _module_preset=”default” global_colors_info=”{}”][et_pb_text admin_label=”Acute Angles
\n” _builder_version=”4.11.3″ _module_preset=”default” header_font=”|700|||||||” header_text_align=”left” header_font_size=”50px” header_line_height=”1.18em” custom_padding=”|0px||4px|false|false” header_font_size_tablet=”” header_font_size_phone=”35px” header_font_size_last_edited=”on|phone” global_colors_info=”{}”]<\/p>\n
[\/et_pb_text][et_pb_text admin_label=”Text” _builder_version=”4.13.1″ _module_preset=”default” text_font_size=”16px” header_2_font=”|600|||||||” header_2_text_color=”#a01414″ header_3_font=”|600|||||||” custom_padding=”15px|15px|54px|4px|false|false” global_colors_info=”{}”]<\/p>\n
The numbers that divide 56 completely are called its factors. That\u2019s why 1, 2, 4, 7, 8, 14, 28, and 56 are the required factors as per the definition.<\/span><\/b><\/p>\n In other words, if two whole numbers are multiplied with each other, and the result is 56, then both the whole numbers are factors of 56.<\/span><\/p>\n For example,<\/span><\/p>\n 1 \u00d7 56 = 56<\/span><\/p>\n 2 \u00d7 28 = 56<\/span><\/p>\n 4 \u00d7 14 = 56<\/span><\/p>\n 7 \u00d7 8 = 56<\/span><\/p>\n so 1, 2, 4, 7, 8, 14, 28, and 56 are the required factors.<\/span><\/p>\n <\/span><\/p>\n The numbers that divide 56 completely without leaving any remainder are its factors. Every number is completely divisible by 1 and the number itself. So, the two factors will be 1 and the number itself, which is 56.\u00a0<\/span><\/b><\/p>\n To find other factors, we will use the divisibility test.<\/span><\/p>\n Using the divisibility rules from 1 to 10, we find that 56 is divisible by 2, 4, 7, and 8. By dividing 56 with these numbers, we can find other factors.<\/span><\/b><\/p>\n So, divide 56 with 2; we get (56 \u00f7 2) = 28 as the quotient and zero as the remainder.<\/span><\/p>\n Since the quotient is 28 and the remainder is 0. So, 56 will be wholly divisible by the quotient 28 also. Therefore, 28 is also a factor of 56.<\/span><\/b><\/p>\n Similarly, when we divide 56 by 4 and 7, we get 14 and 8, respectively. All these numbers are the required factors.<\/span><\/b><\/p>\n Therefore, we see that all the factors of the number 56 are 1, 2, 4, 7, 8, 14, 28, and 56.<\/span><\/p>\n <\/p>\n To find the pair factors, we will have to find pairs of such numbers whose product is 56. These pairs are –\u00a0<\/span><\/p>\n 1 \u00d7 56 = 56<\/span><\/p>\n 2 \u00d7 28 = 56<\/span><\/p>\n 4 \u00d7 14 = 56<\/span><\/p>\n 7 \u00d7 8 = 56<\/span><\/b><\/p>\n Hence, the positive pair factors are (1, 56), (2, 28), (4, 14), and (7, 8).<\/span><\/p>\n In the same way, (-1, -56), (-2, -28), (-4, -14), and (-7, -8) will be its negative pair factors.\u00a0 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 56 by prime numbers till the quotient obtained is 1. Let\u2019s understand how to do it.\u00a0<\/span><\/p>\n The smallest prime factor of 56 is 2. So divide 56 by 2, and we get;<\/span><\/p>\n \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \\frac{56}{2}=28<\/span><\/span><\/p>\n The smallest prime factor of 28 is also 2. Now divide 28 by 2, and we get;<\/span><\/p>\n \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \\frac{28}{2}=14<\/span><\/span><\/p>\n Similarly, divide 14 by 2, and we get 7.\u00a0<\/span><\/p>\n Finally, divide 7 by 7, and we get 1.<\/span><\/p>\n Now, we can\u2019t divide 1 by any further by prime factors.\u00a0<\/span><\/b><\/p>\n Therefore, prime factorization of 56 is equal to (2\\times 2\\times 2\\times 7)\\text{ or }\\left(2^{3} \\times 7\\right)<\/span>.<\/span><\/p>\n <\/p>\n <\/span><\/p>\n 8 and 14 are the factors of 56 since these two numbers divide 56 completely without leaving any remainder.<\/span><\/p>\n <\/span><\/p>\n <\/span><\/p>\n 1, 2, 4, 7, 8, 14, 28, and 56 are the factors of the number 56.<\/span><\/p>\n So, the sum of these factors = 1 + 2 + 4 + 7 + 8 + 14 + 28 + 56 = 120<\/span><\/p>\n Therefore, 120 is the required answer.<\/span><\/p>\n <\/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>\nHow To Calculate the Factors of The Number 56?<\/b><\/h2>\n
Pair Factors of 56<\/b><\/h2>\n
Prime Factorization of 56<\/b><\/h2>\n
Examples<\/b><\/b><\/h2>\n
1. Identify the factors of 56 among the following numbers –\u00a0<\/span><\/h3>\n
8, 12, 14, 18?<\/span><\/b><\/h3>\n
2. What is the sum of all the factors of the number 56?<\/span><\/span><\/h3>\n
\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>\nExplore Other Topics<\/h1>\n
\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