Even and Odd Numbers

even and odd numbers

Even Numbers

Any integer that can be divided exactly by 2.

The last digit will be 0, 2, 4, 6 or 8

Example: -24, 0, 6 and 38 are all even numbers

Odd Numbers

If it is not an even number, it is called an odd number.

The last digit will be 1, 3, 5, 7 or 9

Example: -3, 1, 7 and 35 are all odd numbers

Adding and Subtracting

When we add (or subtract) odd or even numbers the results are always:

Operation Result Example
(red is odd, blue is even)
Even + Even Even 2 + 4 = 6
Even + Odd Odd 6 + 3 = 9
Odd + Even Odd 5 + 12 = 17
Odd + Odd Even 3 + 5 = 8

(The same thing happens when we subtract instead of adding.)

Multiplying

When we multiply odd or even numbers the results are always:

Operation Result Example
(red is odd, blue is even)
Even × Even Even 4 × 8 = 32
Even × Odd Even 4 × 7 = 28
Odd × Even Even 5 × 8 = 40
Odd × Odd Odd 5 × 7 = 35