Maths How To with Anita

Factors of 64

How to Find the Factors of 64: Tips and Tricks

Do you know how to find the factors of 64? This can be a tricky task, but with the right tips and tricks, it can be a breeze. In this article, we will teach you everything you need to know about the factors of 64.

I provide step-by-step instructions on how to find them, as well as some helpful tips along the way. So if you are ready to learn, keep reading!

What are Factors?

In mathematics, a factor is a number that can be divided into another number without leaving a remainder. In other words, it is a number that evenly divides into another number.

What are the factors of 64?

The factors of 64 are 1, 2, 4, 8, 16, 32, 64

How to find Factors

There are two main methods to find the factors of a number:

– Prime Factorization Method

– Division Method

Let’s take a closer look at each method.

Prime Factorization Method:

The prime factorization method is when you break a number down into its prime factors. I like to draw a factor tree to do this.

Division method:

The division method is when you divide the number by smaller numbers until you find a factor. You can use your knowledge of the times tables to do this, the divisibility tests or your calculator.

Divide 64 by each whole number starting with 1. If the answer is a whole number then both 1 and the answer are factors of 16.


64 divided by 1 = 64, therefore 1 and 64 are factors of 64

64 divided by 2 = 32, therefore 2 and 32 are factors of 32

64 cant be divided by 3 since the sum of the digits isn’t a multiple of 3.

64 divided by 4 = 16, therefore 4 and 16 are factors of 64

64 divided by 8 = 8, therefore 8 is a factor of 64

Factor pairs of 64

Since 2 numbers multiply together to get a product of 64, I like to think of factors in pairs.

1 x 64 – 64

2 x 32 = 64

4 x 16 = 64

8 x 8 = 64

Sometimes there isn’t a pair of numbers if the product is a square number like 64.

Drawing a factor rainbow is a visual way to find the factor pairs.

factor rainbow for 64

Prime factorization of 64

Drawing a factor tree for 64 until you reach prime factors allows you to then write 64 as a product of its prime factors.

factor tree for 64

So 64 = 2 x 2 x 2 x 2 x 2 x 2

In index notation this is:

Negative factors of 64

The negative factors of 64 are -1, -2, -4, -8, -16, -32, -64.

Both factors need to be negative (or both positive) so that when multiplied the answer is positive 64.

For example -2 x -32 = 64

Final Thoughts on the Factors of 64

That’s all for now on factorizing. I’ve mentioned in other articles on the factors of 18 and factors of 30, that factorizing is an important skill that will help you with other areas of mathematics such as algebra. Be sure to practice the steps outlined in this article so you can become comfortable factorizing numbers on your own. We hope you have found this tutorial helpful and informative.

Further Factors!

Factors of 18

Factors of 30

Prime Factorization of 42

Factors of 50

Factors of 64

Factors of 90

Factors of 91

Factors of 96

Factors of 120