Prime Factorization of 57

What is the Prime Factorization of 57?

Answer: Prime Factors of 57: 3, 19

Explanation of number 57 Prime Factorization

Prime Factorization of 57 it is expressing 57 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 57.

Since number 57 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 57, we have to iteratively divide 57 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 57:

The smallest Prime Number which can divide 57 without a remainder is 3. So the first calculation step would look like:

57 ÷ 3 = 19

Now we repeat this action until the result equals 1:

19 ÷ 19 = 1

Now we have all the Prime Factors for number 57. It is: 3, 19

Prime Factor Tree of 57

We may also express the prime factorization of 57 as a Factor Tree:

Prime factors of 57 factorization tree of 57

Prime Factorization Table

NumberPrime Factors
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
71

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 57? (The answer is: 3, 19). Pick the number for factorization (e.g. '57'). 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 57?

Prime Factors of 57: 3, 19

How many prime factors does 57 have?

Number 57 has 2 Prime Factors