{"id":4092,"date":"2021-11-19T14:13:07","date_gmt":"2021-11-19T14:13:07","guid":{"rendered":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/?page_id=4092"},"modified":"2022-01-03T07:15:23","modified_gmt":"2022-01-03T07:15:23","slug":"even-numbers-definition-properties-and-faq-mindspark","status":"publish","type":"page","link":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/even-numbers-definition-properties-and-faq-mindspark\/","title":{"rendered":"Even Numbers: Definition, Properties and FAQ – Mindspark"},"content":{"rendered":"

[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

Even Numbers: Definition, Properties and FAQ – Mindspark<\/h1>\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

Even Numbers: Introduction<\/b><\/h2>\n

<\/b><\/p>\n

Any number which is completely divisible by 2 is an even number. In other words, if we divide a number by 2 and it leaves no remainder, then the number is an even number. On the other hand, if the number leaves a remainder then the given number is odd.<\/span><\/p>\n

Let us check some numbers if they are even or odd:<\/span><\/span><\/p>\n

    \n
  1. 2<\/strong> \u2013 If we divide the 2 by 2, then the remainder is 0. Hence, the given number 2 is an even number.<\/span><\/span><\/li>\n
  2. 16<\/strong> \u2013 If we divide the given number 16 by 2, the remainder is 0. So 16 is an even number.<\/span>
    <\/span><\/span><\/li>\n
  3. 15<\/strong> \u2013 Dividing 15 by 2 (15\u00f7 2) leaves 1 as a remainder. So 15 is not an even number but an odd number.<\/span><\/span><\/li>\n<\/ol>\n

    \u00a0<\/span><\/p>\n

    Know If a Given Number is Even or Not Without Dividing it By 2.<\/b><\/h2>\n

    <\/b><\/p>\n

    You can divide small numbers by 2 to check if the number is even or not. But dividing large numbers can be time-consuming. So you should know the trick to identify if the number is even or not without dividing it by 2.<\/p>\n

    For this, you should check the ones place or unit digit of the given number. If the ones place of a given number has digits 0, 2, 4, 6 and 8, then the given number is an even number. Otherwise, the given number is odd.<\/p>\n

    Let’s check these two numbers- (1) 7249910 and (2) 2091311.
    You can now clearly see that in the first number, 7249910, the unit digit is 0. So, 7249910 is even.
    For the second number, 2091311, the unit digit is 1. So, 2091311 is odd.<\/p>\n

    This is the way you can check any number for even or odd.<\/p>\n

     <\/p>\n

    Properties of Even Numbers<\/strong><\/h2>\n

    <\/span><\/p>\n

    Let’s have a look at the different properties of even numbers like addition, subtraction, and multiplication.<\/span><\/p>\n

    <\/h3>\n

    Addition<\/b><\/h3>\n
      \n
    1. The sum of two even numbers is also an even number. For example, 16 + 6 = 22.<\/span><\/span>
      <\/span><\/li>\n
    2. The addition (sum) of an even number with an odd number is always an odd number. For example, 8 + 9 = 17.<\/span><\/li>\n<\/ol>\n

       <\/p>\n

      Subtraction<\/b><\/b><\/h3>\n
        \n
      1. The difference (subtraction) of two even numbers is again an even number. For example, 42 – 10 = 32.<\/span>
        <\/span><\/li>\n
      2. The subtraction (difference) of an even number and an odd number is always an odd number. For example, 22 – 9 = 13.<\/span><\/li>\n<\/ol>\n

         <\/p>\n

        Multiplication<\/b><\/b><\/h3>\n
          \n
        1. The product (multiplication) of two even numbers is always an even number. For example, 13 \u00d7 4 = 52.<\/span>
          <\/span><\/li>\n
        2. The product (multiplication) of an even number and an odd number is always an even number. For example, 8 \u00d7 7 = 56.<\/span><\/li>\n<\/ol>\n

          <\/b><\/h2>\n

          Examples
          <\/b><\/h2>\n

           <\/p>\n

          1. Identify even numbers from the given set of numbers- <\/span>13, 8, 92, 17, 32, 143, 500.<\/span><\/h3>\n

          Solution:<\/strong><\/p>\n

          8, 92, 32 and 500 are even since their last digits are 8, 2, 2 and 0, respectively, and this is the identification of an even number.<\/span><\/p>\n

           <\/p>\n

          2. Write the first ten positive even numbers.<\/span><\/h3>\n

          Solution:<\/strong><\/p>\n

          2, 4, 6, 8, 10, 12, 14, 16, 18, and 20 are the first ten positive even numbers.\u00a0<\/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
          \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>\n

          Explore Other Topics<\/h1>\n

          [\/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

          \n
          Geometry<\/a><\/div>\n
          Trigonometry<\/a><\/div>\n
          Operations<\/a><\/div>\n
          Numbers<\/a><\/div>\n<\/div>\n

          [\/et_pb_text][et_pb_text admin_label=”Related Concepts
          \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>\n

          Related Concepts<\/h1>\n

          [\/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
          Types of Numbers<\/a><\/div>\n
          Consecutive Even numbers<\/a><\/div>\n
          Composite Odd numbers<\/a><\/a><\/div>\n<\/div>\n

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          Frequently Asked Questions\u00a0<\/span><\/span><\/h1>\n
            <\/ol>\n

            1. Which number is the smallest even number?<\/strong><\/h3>\n

            Ans: <\/strong>2 is the smallest number completely divisible by 2. Therefore, 2 is the smallest even number.<\/strong><\/span><\/p>\n

            2. Tell if zero is an even number or an odd number?<\/strong><\/h3>\n

            Ans: <\/strong>When we divide Zero (0) is by 2, it gives the remainder 0. It means zero is divisible by 2. Therefore, 0 is an even number.
            <\/strong><\/p>\n

            3. Are all the even numbers natural numbers also?<\/strong><\/h3>\n

            Ans: <\/strong>Yes, all the natural numbers that are wholly divisible by 2 are even numbers. For example, 12, 16, 22, 24, etc. hence, all even numbers are natural numbers.<\/span><\/p>\n

            <\/strong><\/p>\n

            [\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"

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