25 is a composite number and hence it has factors that are other than 1 and itself. <\/span>If a number can completely divide 25 without leaving a remainder, then that number is a factor of 25.<\/span>\u00a0\u00a0<\/span><\/p>\n The factors of 25 are 1, 5 and 25.<\/p>\n Here, 1 is the smallest factor and 25 itself is its biggest factor.<\/span><\/p>\n <\/p>\n Let\u2019s find the factors by simply dividing 25 by all the numbers starting from 1 to 25 and see which number divides 25 without leaving a remainder. We see that when 25 is divided by <\/span>1,\u00a0 5 and 25<\/span> the remainder is 0. Hence <\/span>1, 5 and 25 <\/span>are its factors.<\/span><\/p>\n We divide 25 by prime numbers in this method. In this method, we will continue division with the quotient if it\u2019s a composite number till the final quotient is 1.<\/span><\/p>\n The prime factors can be obtained by <\/span>(a)<\/b> Division Method or <\/span>(b)<\/b> Factor Tree Method.<\/span><\/p>\n <\/span><\/p>\n We divide the number 25 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 25 by the prime number 5,\u00a0<\/span><\/p>\n 25 \u00f7 5 = 5, and continue similarly<\/span><\/p>\n 5 \u00f7 5 = 1<\/span><\/p>\n Hence the prime factorization of 25 is 5<\/span> \u00d7 <\/span>5 <\/span>\u00d7 <\/span>1.<\/span><\/p>\n <\/span><\/p>\n We need to find the prime factorization of 25, hence, the root of the factor tree is 25. We can write the pair of factors as the branch of 25. The factor tree ends at a prime factor.\u00a0<\/span><\/p>\n Factor tree of 25<\/i><\/b><\/p>\n The factor tree ends at 5 since it is a prime number.<\/span><\/p>\n \u2234<\/span> prime factorization of 25 is 5 \u00d7 5 <\/span>\u00d7 <\/span>1.<\/span><\/span><\/p>\n <\/p>\n A factor pair includes the set of two numbers whose product will give the number as the product. Factor pairs of 25 are:<\/span><\/p>\n 1 \u00d7 25 = 25, Hence the factor pair is (1, 25)<\/span><\/p>\n 5 \u00d7 5 = 25, Hence the factor pair is (5, 5)<\/span><\/p>\n The product of two negative numbers is positive. Hence, the negative factor pairs of 25 are:<\/span><\/p>\n (-1) \u00d7 (- 25) = 25, Hence the factor pair is (-1, -25).<\/span><\/p>\n (-5) \u00d7 (-5) = 25, Hence the factor pair is (-5, -5).<\/span><\/p>\n <\/span><\/p>\n <\/strong><\/p>\n Example 1<\/strong>:\u00a0<\/b>Do 25 and 35 have any factors in common?<\/span><\/p>\n Solution:<\/strong> There are four factors of 35 which are:<\/span><\/p>\n 35 \u00f7 1 = 35<\/span><\/p>\n 35 \u00f7 5 = 7<\/span><\/p>\n 35 \u00f7 7 = 5<\/span><\/p>\n 35 \u00f7 35 = 1<\/span><\/p>\n Hence, the factors of 35 are: <\/span>1<\/b>, <\/span>5<\/b>, 7 and 35.<\/span><\/p>\n The factors of 25 are: <\/span>1<\/b>, <\/span>5<\/b>, and 25.<\/span><\/p>\n Therefore, 25 and 35 have 1 and 5 as common factors.<\/span><\/p>\n <\/span><\/p>\n Example 2:<\/strong>\u00a0<\/b>Find the sum of all the factors of 25.<\/span><\/p>\n Solution:<\/strong><\/p>\n We know the factors of 25 are: 1, 5 and 25.<\/span><\/p>\n \u2234 The sum of all the factors is = 1+ 5 + 25 = 31.<\/span><\/p>\n <\/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 determine factors of 25?<\/b><\/b><\/h2>\n
<\/b><\/h2>\n
Prime Factorization of 25<\/b><\/b><\/h2>\n
(a) Prime Factorization using Division Method<\/b><\/h3>\n
(b) Prime Factorization using the Factor Tree Method<\/b><\/h3>\n
![\"\"](\"https:\/\/eistudymaterial.s3.amazonaws.com\/images-for-square.png\")
<\/span><\/p>\nFactors of 25 in Pairs<\/b><\/b><\/h2>\n
Examples<\/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
\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