Identify Even and Odd Numbers

Even Numbers

Even numbers are the numbers that are perfectly divisible by 2 with no remainder, that is the numbers that can be divided into two equal whole numbers or two equal parts.

For example, 100 is divisible by 2 and is an even number.

100/2 = 50

100 = 50 + 50

100 can be divided into two equal parts 50 + 50.

100 is an even number.

50 is also divisible by 2 with no remainder and is an even number.

50/2 = 25

25 + 25 = 50

50 can be divided into two equal parts 25 + 25.

50 is an even number.

25 on the other hand is not exactly divisible by 2.

25 divided by 2 results in 12 with a remainder of 1.

25 = 12 + 12 + 1

25 is an odd number.

Odd Numbers

Odd numbers are the numbers that are not perfectly divisible by 2 and leave a remainder of 1 when divided by 2. Odd numbers cannot be divided into two equal whole numbers.

For example, 31 is not exactly divisible by 2 and has a remainder of 1 when divided by 2.

31 = 15 + 15 + 1

31 is an odd number.

57 is not exactly divisible by 2 and has a remainder of 1 when divided by 2.

57 = 28 + 28 + 1

57 is an odd number.

24 on the other hand is divisible by 2 with no remainder and is an even number.

24/2 = 12

24 = 12 + 12

24 is an even number.

Practice Examples

Is 40 an Odd or an Even Number?

40 is divisible by 2.

40/2 = 20

40 = 20 + 20

40 is an even number.

Is 45 an Odd or an Even Number?

45 is not exactly divisible by 2.

45 when divided by 2 results in 22 along with a remainder of 1.

45 = 22 + 22 + 1

45 is an odd number.

Is 48 an Odd or an Even Number?

48 is divisible by 2.

48/2 = 24

48 = 24 + 24

48 is an even number.

Is 79 an Odd or an Even Number?

79 is not exactly divisible by 2.

79 when divided by 2 results in 39 along with a remainder of 1.

79 = 39 + 39 + 1

79 is an odd number.

Video above includes more practice examples of even and odd numbers.