What are the factors of 24

What Are The Factors Of 24? Answer & Explanations

In mathematics, factors are two whole numbers that can be multiplied to create a product. In the case of this post, the product is 24.

So, what are the factors of 24?

Factors of 24

There are many numbers that you can multiply to make 24. The 8 factors for 24 are:

  • 1
  • 2
  • 3
  • 4
  • 6
  • 8
  • 12
  • 24

How to Factorise 24

To find the factors, divide 24 by all whole numbers starting with 1. Stop when the result is smaller than the number you are dividing by. Only results that include whole numbers are factors.

How to factorise 24

Rules: 

  • Even numbers are always divisible by 2
  • If a number ends in 0 or 5, it is divisible by 5

Factors of 24 in Pairs

Factor pairs are the two numbers that can be multiplied to make the product, 24. All factor pairs for 24 are as follows:

  • 1 × 24= 24
  • 2 × 12= 24
  • 3 × 8= 24
  • 4 × 6= 24

These positive factors are the most commonly accepted answer; however, there are also negative factors of 24. 

The negative factors of 24 are: -1, -2, -3, -4, -6, -8, -12, -24

The negative factor pairs are:

  • -1 × -24= 24
  • -2 × -12= 24
  • -3 × -8= 24
  • -4 × -6= 24

Prime factorization of 24

To understand prime factors, you must know about prime numbers. A prime number is a number that is greater than 1 and cannot be divided into smaller numbers. (They can only be divided by 1 and the number itself.)

Prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, etc.

Prime factorization is when a product is broken down into all of its prime factors.

The prime factorization of 24 is:

  • 2 x 2 x 2 x 3 = 24
Prime factorization of 24: factor tree

To get this number, we start with the smallest prime factor that 24 is divisible by: 2.

  • 24 divided by 2 is 12 ( 12 is not a prime number)
  • 12 divided by 2 is 6 (6 is not a prime number)
  • 6 divided by 2 is 3 (3 is a prime number)

It can also be written as exponents.

The prime factors of 24 are: 2 x 2 x 2 x 3 = 23 x 3 = 24

Common factors of 24 

The common factors of two (or more) numbers are the factors that the numbers have in common. For example:

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
The factors of 14 are: 1, 2, 7, 14

Their common factors are: 1 and 2

The greatest common factor is the largest of the common factors.

  • What is the greatest common factor of 16 and 24?

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
The factors of 16 are: 1, 2, 4, 8, 16 

The greatest common factor is: 8

  • What is the greatest common factor of 24 and 40?

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40

The greatest common factor is: 8

  • What is the greatest common factor of 24 and 36?

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

The greatest common factor is: 12

  • What is the greatest common factor of 24 and 32?

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
The factors of 32 are: 1, 2, 4, 8, 16, 32

The greatest common factor is: 8

  • What is the greatest common factor of 18 and 24?

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
The factors of 18 are: 1, 2, 3, 6, 9, 18

The greatest common factor is: 6

FAQ

What are all the factors of 24?

Factors of 24 are: 1, 2, 3, 4, 6, 8, 12, and 24.

Related:

What are the factors of 18?

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