Prime Factorization of 56

What is the Prime Factorization of 56?

Answer: Prime Factors of 56: 2, 2, 2, 7

or

23 × 7

Explanation of number 56 Prime Factorization

Prime Factorization of 56 it is expressing 56 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 56.

Since number 56 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 56, we have to iteratively divide 56 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 56:

The smallest Prime Number which can divide 56 without a remainder is 2. So the first calculation step would look like:

56 ÷ 2 = 28

Now we repeat this action until the result equals 1:

28 ÷ 2 = 14

14 ÷ 2 = 7

7 ÷ 7 = 1

Now we have all the Prime Factors for number 56. It is: 2, 2, 2, 7

Or you may also write it in exponential form: 23 × 7

Prime Factor Tree of 56

We may also express the prime factorization of 56 as a Factor Tree:

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 56? (The answer is: 2, 2, 2, 7). Pick the number for factorization (e.g. '56'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

Prime Factorization Table

NumberPrime Factors
41
2, 3, 7
43
22 × 11
32 × 5
2, 23
47
24 × 3
72
2 × 52
3, 17
22 × 13
53
2 × 33
5, 11
23 × 7
3, 19
2, 29
59
22 × 3 × 5
61
2, 31
32 × 7
26
5, 13
2, 3, 11
67
22 × 17
3, 23
2, 5, 7

FAQ

What is the Prime Factorization of 56?

Prime Factors of 56: 2, 2, 2, 7

How many prime factors does 56 have?

Number 56 has 4 Prime Factors

What is the Prime Factorization of 56 in exponential form?

The Prime Factorization of the number 56 in the exponential form is: 23 × 7