Even number

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Introduction[edit | edit source]

In arithmetic, an even number is an integer that can be divided evenly by 2 and outputs no remainder, or 0. Parity (or number parity, integer parity, etc). Is a broader term used to express whether a number is even or odd, [1] so even numbers are numbers that are multiples of two

One pattern you can use for example is: 2, 4, 6, 8, 10, 12 and so on. Again, these are all even numbers since they are multiples of 2. 0 is even because 0 times 2 is zero, same thing when it's divided. So 0, 2, 4, 6, 8, 10, 12 and so on are all even because all of the numbers in the set is based on the remainder (or parity) of zero. Alternatively, if it was odd, the remainder would be 1, instead of 0.

Visualize it![edit | edit source]

An even number is a number that can be divided into two equal groups, so let's visualize. Let's say a group of 4 friends celebrate their friends birthday party, it's time for their cake, and there are 4 equal pieces they can all eat evenly. So the cake would be divided evenly by 2. Now everybody is happy! It's even because the remainder we get is 0.

4 quarters of a cake; each half is 2 quarters ()

  1. Weisstein, Eric W. "Parity". mathworld.wolfram.com. Retrieved 2022-03-01.