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Odd and Even Numbers

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More Lessons for Arithmetic

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What are even numbers?
Even numbers are numbers that can be divided by 2, for example, 0, 12, 54. An even number always ends in 0, 2, 4, 6, or 8.

Zero is considered an even number.

What are odd numbers?
Odd numbers are numbers that cannot be divided by 2, for example, 1, 37, 59. An odd number always ends in 1, 3, 5, 7, or 9.

To tell whether a number is even or odd, look at the rightmost digit.
For example, the number 255 is an odd number because it ends in 5, which is odd. Likewise, 702 is an even number because it ends in 2, which is even.

The following video explains the differences between even and odd numbers.

Operations On Even and Odd Numbers

What are the patterns when we add and multiply even and odd numbers?

Addition examples:
even + even = even 2 + 2 = 4
odd + odd = even 1 + 1 = 2
odd + even = odd 1 + 2 = 3
Multiplication examples:
even × even = even 2 × 2 = 4
odd × odd = odd 1 × 1 = 1
odd × even = even 1 × 2 = 2

The following video will explain more about the adding and multiplying odd and even numbers and their patterns.


Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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