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The divisibility rule of 3 is a shortcut method to test if a number is wholly divisible by 3 or not without performing any mathematical division process.<\/p>\n
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The divisibility rule of 3 says, \u201ca number is divisible by 3 if the sum of all its digits is a multiple of 3 or wholly divisible by 3\u201d. Let\u2019s understand this with an example.\u00a0<\/span><\/p>\n Suppose we have to find if 234 is divisible by 3 or not. So we will add all the digits of 234, which will be 2 + 3 + 4 = 9.\u00a0<\/span><\/p>\n Now the sum 9 is a multiple of 3. Therefore, 234 is divisible by 3.\u00a0<\/span><\/p>\n <\/span><\/p>\n The divisibility rule of 3 is helpful to check the divisibility in large numbers. Here, we keep applying the divisibility test until we get the sum of the digits of the number closer to 3 or multiple of 3. We follow the steps given below –<\/span><\/span><\/p>\n <\/span><\/p>\n Example:\u00a0<\/b> Let\u2019s check if 23412 is divisible by 3 or not.<\/span><\/p>\n First, we calculate the sum of the digits, which is 2 + 3 + 4 + 1 + 2 = 12.\u00a0<\/span><\/p>\n The obtained sum of 12 is a multiple of 3. Therefore, 23412 would also be divisible by 3.<\/span><\/p>\n \u00a0<\/span><\/p>\n Similarly, we can check for <\/span>1121031.\u00a0<\/span><\/p>\n Adding all the digits, we get 1 + 1 + 2 + 1 + 0 + 3 + 1 = 9.<\/span><\/p>\n We know that 9 is divisible by 3. So, the original number 1121031 will also be divisible by 3.<\/span><\/p>\n <\/p>\n <\/p>\n <\/span><\/p>\n Using the rule of divisibility of 3, we will find the sum of all the digits of 91682982.<\/span><\/p>\n The sum will be 9 + 1 + 6 + 8 + 2 + 9 + 8 + 2 = 45.\u00a0<\/span><\/p>\n We are not sure if 45 is divisible by 3 or not. So, we will add both the digits of 45.<\/span><\/p>\n Now the final sum is 4 + 5 = 9, which is a multiple of 3.<\/span><\/p>\n Therefore 91682982 is divisible by 3.<\/span><\/p>\n <\/p>\n <\/span><\/p>\n The smallest 3-digit number is 100.\u00a0<\/span><\/p>\n The sum of the digits of 100 is 1 + 0 + 0 = 2, which is not wholly divisible by 3.<\/span><\/p>\n Therefore, we can say that the smallest three-digit number is not divisible by 3.<\/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>\n\n
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Examples<\/b><\/span><\/h2>\n
1. Use the rule of divisibility of 3 to find out whether the large number 91682982 is divisible by 3 or not?<\/span><\/h3>\n
2. Use the rule of divisibility of 3 and find out if the smallest three-digit number is divisible by 3 or not?<\/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