What are odd and even numbers?

You may have heard about odd and even numbers, but what exactly are they? Let’s explore even and odd numbers in more detail and look at examples from 1 to 100.

icon of a star with a smiley face

Author
Gary Ferguson

Last Updated
July 12, 2023

What are odd and even numbers?

You may have heard about odd and even numbers, but what exactly are they? Let’s explore even and odd numbers in more detail and look at examples from 1 to 100.

icon of a star with a smiley face

Author
Gary Ferguson

Last Updated
July 12, 2023

What are odd and even numbers?

You may have heard about odd and even numbers, but what exactly are they? Let’s explore even and odd numbers in more detail and look at examples from 1 to 100.

icon of a star with a smiley face

Author
Gary Ferguson

Last Updated
July 12, 2023

Key takeaways

  • All even numbers are divisible by 2 and leave a remainder of 0. 
  • All odd numbers are integers that are not divisible by 2.
  • Zero is considered and even number in math.
  • According to Common Core standards, even and odd numbers are introduced in second grade.

What are odd and even numbers?

Graphic of odd and even numbers. Odd numbers are orange and even numbers are blue.

Even numbers are divisible by 2, while odd numbers aren’t. 

This means that if you divide an even number by 2, you’ll always get a whole number result (e.g. 10/2 = 5). On the other hand, if you divide an odd number by 2, you’ll get a fractional result (e.g. 9/2 = 4.5).

Keeping this rule in mind can be really helpful when it comes to doing things like addition, subtraction, multiplication and division

In fact, this divisibility rule can be applied to any even or odd number, not just those between 1 and 100!

Examples of odd and even numbers

Odd numbers 1 to 100

Below is a list of all odd numbers from 1 to 100:

1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99.

Even numbers 1 to 100

Below is a list of all even numbers from 1 to 100:

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100.

Did you know....

All odd numbers end in 1, 3, 5, 7 and 9. As a result, every odd number written in word form ends in the letter ‘e’.  Isn’t that cool?!

7 even and odd number activities

There are lots of things that you can do to explore odd and even numbers with your child including skip counting or practicing multiplication and division. Here are seven ideas for practicing odd and even numbers:

  1.  See if you can find any patterns with odd and even numbers
  2. Have a competition with a friend or family member to see who can get to 100 first by only adding odd or even numbers
  3.  See who can make the biggest odd or even number using the digits 1-9
  4. Try to find as many different odd and even numbers as you can
  5. See if you can make a number sentence using odd and even numbers (e.g. 3+5=8 or 9+1=10)
  6. Have a go at the ‘Odd One Out’ game; you’ll need a partner for this. One person thinks of an odd number between 1-100, and the other person has to guess what it is! The guessing person can only ask if the number is odd or even. The person who is thinking of the number can only say ‘yes’ or ‘no’.
  7. Try to solve riddles like: I am an odd number. Take away one letter, and I become even. What number am

Benefits of learning about odd and even numbers

Knowing whether a number is odd or even can be helpful in lots of situations. For example, when adding or subtracting numbers, you can pair up odd numbers with odd numbers and even numbers with even numbers to make calculations easier. 

For multiplication and division questions, you can also use the fact that odd numbers always give odd results when multiplied together, and even numbers always give even results (except 0).

Frequently asked questions about odd and even numbers

Most students are introduced to the concept of odd and even numbers in first or second grade. According to common core math standards, odd and even numbers are introduced in second grade.

Odd numbers from 1 to 100 include: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99.

Even numbers from 1 to 100 include: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100.

Integers can only be even or odd. No number is both even and odd.

Zero is considered an even number in math.

All prime numbers except for 2 are odd. This is because a prime number can only be divided by 1 and itself. Therefore, the result will always be an odd number.

Some examples of prime numbers are:

3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47.

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Negative Numbers

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Composite Numbers

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