[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
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[\/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 divisibility rule of 6 is a combination of the divisibility rules of 2 and 3. It is a shortcut trick to know if a number is wholly divisible by 6 or not.<\/p>\n
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The divisibility rule of 6 tells that a number is divisible by \u201c6\u201d if it is divisible by the numbers 2 and 3. It also means that all even multiples of 3 are divisible by 6. Let us see an example.<\/span><\/p>\n Suppose we want to check if 6312 is divisible by 6 or not.<\/span><\/p>\n The given number is an even number since the number\u2019s last digit is 2 (an even number).<\/span><\/p>\n Now, check for the divisibility of 3.\u00a0<\/span><\/p>\n The sum of the digits is 6 + 3 + 1 + 2 = 12, which is a multiple of 3. So, 6312 is divisible by 3 also.<\/span><\/p>\n Therefore, 6312 is an even multiple of 3, and hence it will be divisible by 6.<\/span><\/p>\n <\/span><\/p>\n For large numbers, we keep applying the divisibility test of 3 until we get the sum of the digits of the number closer to 3 or multiple of 3. Let\u2019s take an example of a large number.<\/span><\/p>\n We want to know if 212268 is divisible by 6 or not.\u00a0<\/span><\/p>\n (Note that the sum of the digits of the number 21 is 2 + 1 = 3 is also divisible by 3. We can repeat the addition process to get the sum closer to 3.)<\/span><\/p>\n \u00a0<\/span><\/p>\n <\/span><\/p>\n The last digit of the number 24108 is an even number (8). So, we are sure that the number is divisible by 2.<\/span><\/p>\n Adding all the digits of the number gives 2 + 4 + 1 + 0 + 8 = 15. The sum 15 is a multiple of 3, so 24108 will also be divisible by 3.<\/span><\/p>\n Since 24108 is divisible by 2 and 3 both. Therefore, it is divisible by 6.<\/span><\/p>\n <\/p>\n <\/span><\/p>\n The last digit of the given number 36940 is an even number (0). So, we are sure that the number is divisible by 2.<\/span><\/p>\n Adding all the digits of the number gives 3 + 6 + 9 + 4 + 0 = 22. The sum 22 is not a multiple of 3, so 36940 will not be divisible by 3.<\/span><\/p>\n Since 36940 is divisible by 2 but not by 3. Hence, it is not divisible by 6.<\/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\n
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Examples<\/b><\/h2>\n
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1. Use the divisibility test of 6 and find out whether 24108 is divisible by 6?<\/span><\/h3>\n
2. Find out if 36940 is divisible by 6?<\/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