Prime Factorization of 58

What is the Prime Factorization of 58?

Answer: Prime Factors of 58: 2, 29

Explanation of number 58 Prime Factorization

Prime Factorization of 58 it is expressing 58 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 58.

Since number 58 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 58, we have to iteratively divide 58 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 58:

The smallest Prime Number which can divide 58 without a remainder is 2. So the first calculation step would look like:

58 ÷ 2 = 29

Now we repeat this action until the result equals 1:

29 ÷ 29 = 1

Now we have all the Prime Factors for number 58. It is: 2, 29

Prime Factor Tree of 58

We may also express the prime factorization of 58 as a Factor Tree:

See Also

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 58? (The answer is: 2, 29). Pick the number for factorization (e.g. '58'). 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
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
23 × 32

FAQ

What is the Prime Factorization of 58?

Prime Factors of 58: 2, 29

How many prime factors does 58 have?

Number 58 has 2 Prime Factors