1, 2, 4, 8 and 16 are 16\u2019s factors. Here, 1 is the smallest factor and 16 itself is its biggest factor.<\/span><\/p>\n <\/span><\/p>\n Let\u2019s find the factors by simply dividing 16 by all the numbers starting from 1 to 16 and see which number divides 16 without leaving a remainder. We see that when 16 is divided by 1, 2, 4, 8, and 16 the remainder is 0. Hence 1, 2, 4, 8, and 16 are the factors of 16.<\/span><\/p>\n <\/span><\/p>\n We divide 16 by prime numbers in this method. In this method, we will continue division with the quotient if it\u2019s a composite number till the last quotient is 1. The prime factors can be obtained by <\/span>(a)<\/b> Division Method or <\/span>(b)<\/b> Factor Tree Method.<\/span><\/p>\n (a) Prime Factorization by Division Method<\/b><\/p>\n We divide the number 16 by the smallest prime number which doesn\u2019t leave a remainder. The quotient obtained is divided repeatedly by the smallest prime number until the last quotient obtained is 1.<\/span><\/p>\n Divide 16 by the prime number 2\u00a0<\/span><\/p>\n 16 \u00f7 2 = 8, and continue similarly<\/span><\/p>\n 8 \u00f7 2 = 4<\/span><\/p>\n 4 \u00f7 2 = 2<\/span><\/p>\n 2 \u00f7 2 = 1<\/span><\/p>\n Hence the prime factorization of 16 is 2 <\/span>\u00d7 <\/span>2 <\/span>\u00d7 <\/span>2 <\/span>\u00d7 <\/span>2.<\/span><\/p>\n <\/span><\/p>\n (b) Prime Factorization by the Factor Tree Method<\/b><\/p>\n We need to find the prime factorization of 16, hence, the root of the factor tree is 16. We can write the pair of factors as the branch of 16. The factor tree ends at a prime factor.\u00a0<\/span><\/p>\n Factor tree of 16<\/i><\/b><\/p>\n The factor tree ends at 2 since it is a prime number.<\/span><\/p>\n \u2234<\/span> Prime factorization of 16 is 2 \u00d7 2 \u00d7 2 \u00d7 2.<\/span><\/b><\/p>\n <\/span><\/b><\/p>\n A factor pair includes the set of two numbers whose product will give the number as the product. Factor pairs of 16 are:<\/span><\/p>\n 1 \u00d7 16 = 16, Hence the factor pair is (1, 16).<\/span><\/p>\n 2 \u00d7 8 = 16, Hence the factor pair is (2,8).<\/span><\/p>\n 4 \u00d7 4 = 16, Hence the factor pair is (4, 4).<\/span><\/p>\n The product of two negative numbers is positive. 16\u2019s negative factor pairs are:<\/span><\/p>\n (-1) \u00d7 (-16) = 16, Hence the factor pair is (-1, -16).<\/span><\/p>\n (-2) \u00d7 (-8) = 16, Hence the factor pair is (-2,-8).<\/span><\/p>\n (-4) \u00d7 (-4) = 16, Hence the factor pair is (-4, -4).<\/span><\/p>\n <\/p>\n Example 1<\/strong>:\u00a0<\/b>Do 18 and 16 have any factors in common?<\/span><\/p>\n Solution:<\/strong> There are six factors of 18 which are:<\/span><\/p>\n 18 \u00f7 1 = 18<\/span><\/p>\n 18 \u00f7 2 = 9<\/span><\/p>\n 18 \u00f7 3 = 6<\/span><\/p>\n 18 \u00f7 6 = 3<\/span><\/p>\n 18 \u00f7 9 = 2<\/span><\/p>\n 18 \u00f7 18 = 1<\/span><\/p>\n Hence the factors of 18 are 1, 2, 3, 6, 9,<\/strong> and 18<\/strong> and that of 16 are 1, 2, 4, 8,<\/strong> and 16<\/strong>. Therefore, 18 and 16 have 1 and 2 as common factors.<\/span><\/p>\n <\/span><\/p>\n Example 2:<\/strong>\u00a0<\/b>Find the sum of all the factors of 16<\/span>.<\/span><\/p>\n Solution:<\/strong><\/p>\n 1, 2, 4, 8 and 16 are 16’s factors.<\/span><\/p>\n \u2234<\/span> The sum of all the factors is = 1 + 2 + 4 + 8 + 16 = 31<\/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>\nHow to determine factors of 16?<\/b><\/h2>\n
Prime Factorization of 16<\/b><\/h2>\n
![\"\"](\"https:\/\/eistudymaterial.s3.amazonaws.com\/image23-272x300.png\")
<\/span><\/p>\nFactors of 16 in Pairs<\/b><\/h2>\n
Examples<\/b><\/b><\/h2>\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