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. An even number does not have to be divided until a decimal is formed, that means it is not an even number. Eight is even but seven is not. Zero is an even number because zero divided by two equals zero, which despite not being a natural number, is an integer. Even numbers are either positive or negative,as even number are types of integers.

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

The below are some even numbers up to 150.


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.