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Even number

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An even number is an integer which is "evenly divisible" by two. This means that if the integer is divided by 2, it yields no remainder. Zero is an even number because zero divided by two equals zero. Even numbers can be either positive or negative. You can tell if any decimal number is an even number if its final digit is an even number.

An integer that is not an even number is an odd number.

Addition and subtraction

Integer addition and subtraction follows these rules:

Note: the symbol '±' mean either addition or subtraction.

  • even ± even = even
  • even ± odd = odd
  • odd ± odd = even

To find the set of even natural numbers, we use 2N where N is any natural number. Any number multiplied with an even number will result in an even number. For example:

0N, 2N, 4N, 6N, ... (where N is any natural number)

the result is always an even number.