Prime Factorization of 24

What is the Prime Factorization of 24?

Answer: Prime Factors of 24: 2, 2, 2, 3

or

23 × 3

Explanation of number 24 Prime Factorization

Prime Factorization of 24 it is expressing 24 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 24.

Since number 24 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 24, we have to iteratively divide 24 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 24:

The smallest Prime Number which can divide 24 without a remainder is 2. So the first calculation step would look like:

24 ÷ 2 = 12

Now we repeat this action until the result equals 1:

12 ÷ 2 = 6

6 ÷ 2 = 3

3 ÷ 3 = 1

Now we have all the Prime Factors for number 24. It is: 2, 2, 2, 3

Or you may also write it in exponential form: 23 × 3

Prime Factor Tree of 24

We may also express the prime factorization of 24 as a Factor Tree:

Prime factors of 24 factorization tree of 24

Prime Factorization Table

NumberPrime Factors
32
2, 5
11
22 × 3
13
2, 7
3, 5
24
17
2 × 32
19
22 × 5
3, 7
2, 11
23
23 × 3
52
2, 13
33
22 × 7
29
2, 3, 5
31
25
3, 11
2, 17
5, 7
22 × 32
37
2, 19

About "Prime Factorization" Calculator

This calculator will perform a Prime Factorization of any given number and will show all its Prime Factors. For example, it can help you find out what is the Prime Factorization of 24? (The answer is: 2, 2, 2, 3). Pick the number for factorization (e.g. '24'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

FAQ

What is the Prime Factorization of 24?

Prime Factors of 24: 2, 2, 2, 3

How many prime factors does 24 have?

Number 24 has 4 Prime Factors

What is the Prime Factorization of 24 in exponential form?

The Prime Factorization of the number 24 in the exponential form is: 23 × 3