What is an even number ?  Definition and examples.

An even number is an integer that can be grouped in twos. For example, it is possible to group 4 computers in groups of twos only. Therefore, 4 is an even number. 

As you can see from the illustration above, an even number is never going to have a remainder of 1 when you try to make groups of twos.

In the example above, there are two groups of two computers.

In other words, 4 = 2 × 2

6 will give you 3 groups of 2 and we can write it as

6 =  2 × 3

8 is also an even number and we can write it as 8 =  2 × 4

A negative integer can also be an even number as long as you can show that there is no remainder of 1.

For example,  -4 = 2 × -2 and  -6 = 2 × -3

Do you see a pattern? The numbers in red do not change. The other number in black is an integer.

The definition of even numbers apply only to integers! It would not make sense to say that a fraction, a decimal, or a real number is an even number.