[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=”4.13.1″ _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
<\/b><\/p>\n
We use divisibility rules or tests to check whether the given number is wholly divisible by another number. Suppose we want to know if 8034160 is divisible by 5 or not?<\/span><\/p>\n To check this, you have two methods – the first is to go through a lengthy mathematical division process (time taking), and the second is to apply the divisibility rule (time-saving).<\/span><\/p>\n So, we can conclude that divisibility tests help us to solve lengthy mathematical calculations quickly. In this article, we will learn about the divisibility rules from the number 2 to 12.<\/span><\/p>\n <\/p>\n <\/b><\/p>\n The divisibility test of 1 is not required since every number is divisible by 1. So we start with the divisibility rule of 2.<\/span><\/p>\n <\/span><\/p>\n Divisibility Rule of 2<\/b><\/p>\n Every even number is divisible by 2. Any number with 0, 2, 4, 6 or 8 at the ones place is an even number and thus divisible by 2.<\/span><\/p>\n <\/span><\/p>\n Divisibility Rule of 3<\/b><\/p>\n A number is divisible by 3 if the sum of the digits of that number is 3 or a multiple of 3, i.e. 6, 9, 12, 15 etc.\u00a0<\/span><\/span><\/p>\n Example –<\/strong> 348 is divisible by 3, as the sum of all the digits is 3 + 4 + 8, which is 15, and 15 is a multiple 3. So, 348 is divisible by 3.\u00a0<\/span><\/p>\n <\/b><\/p>\n Divisibility Rule of 4<\/b><\/p>\n If a number\u2019s last two digits form a number that is divisible by 4 or is 00, the number will be divisible by 4.<\/span><\/p>\n Example –<\/strong> 572 will be divisible by 4 because the number formed by the last two digits is 72, which is divisible by 4.<\/span><\/p>\n Similarly, 900 will also be divisible by 4 since the last two digits make 00.<\/span><\/p>\n <\/span><\/p>\n Divisibility Rule of 5<\/b><\/p>\n All those numbers that have 0 or 5 as the last digit are divisible by 5.<\/span><\/span><\/span><\/p>\n Example –<\/strong> 525, 1200 since they have 5 and 0 as their last digits, respectively.<\/span><\/p>\n <\/span><\/p>\n Divisibility Rule of 6<\/b><\/p>\n If a number is divisible by 2 and 3, that number will be divisible by 6 also.<\/span><\/p>\n Example – <\/strong>354 divisible by 6. The sum of all the digits of 354 is 12, so it is divisible by 3. The last digit is 4, so it is divisible by 2 also. Hence it is divisible by 6.<\/span><\/p>\n <\/span><\/p>\n Divisibility Rule of 7<\/b><\/p>\n For a number to be divisible by 7, subtracting twice the last digit of the number from the remaining digits should be divisible by 7.<\/span><\/b><\/p>\n Example –\u00a0<\/strong> 364 is divisible by 7 as when we subtract the twice of the ones place digit,\u00a0<\/span><\/p>\n 4 \u00d7 2 = 8, and subtracting it from the remaining digits 36, we get 36 – 8 = 28, which is divisible by 7. So, 364 is divisible by 7.<\/span><\/p>\n <\/p>\n Divisibility Rule of 8<\/b><\/p>\n If a number\u2019s last three digits form a number that is divisible by 8 or is 000, the number will be divisible by 4.<\/span><\/b><\/p>\n Example –<\/strong> 79240 is divisible by 8, as the number formed by the last three digits 240 is completely divisible by 8.\u00a0<\/span><\/p>\n Similarly, 3000 will be divisible by 8 since the last three digits make 000.<\/span><\/p>\n <\/p>\n Divisibility Rule of 9<\/b><\/p>\n A number is divisible by 9 if the sum of the digits of that number is 9 or a multiple of 9, i.e. 9, 18, 27, 36, 45 etc.\u00a0<\/span><\/p>\n Example –<\/strong> 873 will be divisible by 9 because the sum of digits 8 + 7 + 3 = 18 is divisible by 9.<\/span><\/p>\n <\/p>\n Divisibility Rule of 10<\/b><\/p>\n All those numbers that have zero as the last digit are divisible by 10.<\/span><\/b><\/p>\n Example –<\/strong> 20, 30, 100, 5000, 60000, etc., are divisible by 10 since the last digit is zero.<\/span><\/p>\n <\/span><\/p>\n Divisibility Rule of 11<\/b><\/p>\n For a number to be divisible by 11, the difference of the sums of the alternative digits of a number should be zero or a multiple of 11.<\/span><\/b><\/p>\n Example –<\/strong> 1331 is divisible by 11 because the sum of digits at odd places 1 + 3 = 4 and sum of digits at even places 3 + 1 = 4 and their difference 4 – 4 = 0.<\/span><\/p>\n <\/p>\n Divisibility Rule of 12<\/b><\/p>\n If a number is divisible by 3 and 4, that number will be divisible by 12 also.<\/span><\/b><\/p>\n Example –<\/strong> 1848 is divisible by 12 since it is divisible by both 3 and 4.<\/span><\/span><\/p>\n <\/span><\/p>\n <\/b><\/p>\n <\/span><\/p>\n Sum of digits = 3 + 5 + 4 = 12 which is divisible by 3.<\/span><\/p>\n Therefore, 354 is divisible by 3.\u00a0<\/span><\/p>\n <\/span><\/p>\n The number formed by the last 2 digits is 32, which is divisible by 4.<\/span><\/p>\n Sum of digits = 7 + 3 + 2 = 12 which is not divisible by 9.<\/span><\/p>\n Therefore, 732 is divisible by 4.<\/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>\nDivisibility Rules From 2 to 12<\/b><\/h2>\n
Examples:\u00a0<\/b><\/h2>\n
1. Check if 354 is divisible by 3?<\/span><\/h3>\n
<\/h3>\n
2. Check if 732 is divisible by 4 or 9?<\/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