The Definition of an Even Number

An even number is an integer that can be divided by 2 without a remainder.
An integer is a whole number. Examples of integers are 0, 5013, and -44. Examples of non-integers are 3/5, 1.3, and -√11.

Zero is an even number because it is an integer and has no remainder when divided by 2. For example, 0/2 = 0. It passes the test for being an even number.

All even numbers will have a last digit of 0, 2, 4, 6, or 8. The size of the number does not matter, it just needs to fulfill the rule that it is an integer and can be divided by 2 without a remainder.

Even Numbers Example Problems

Let's go through a couple of example problems together to reinforce our ability to identify even numbers.

Example Problem 1

Is 20 an even number?

Solution:

1. Let's check if 20 is even by using both rules.
2. The last digit is a 0 so we know it’s an even number. Also, 20/2 = 10. There is no remainder, so it is even.
3. Yes, 20 is an even number.

Example Problem 2

Is 31 an even number?

Solution:

1. Let's check if 31 is even by using both rules.
2. The last digit is a 1 so we know it’s not an even number. Also, 31/2 = 15.5, which has a remainder/is a non-integer result.
3. No, 31 is not an even number.