Prime Factorization of 115

What is the Prime Factorization of 115?

Answer: Prime Factors of 115: 5, 23

Explanation of number 115 Prime Factorization

Prime Factorization of 115 it is expressing 115 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 115.

Since number 115 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 115, we have to iteratively divide 115 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 115:

The smallest Prime Number which can divide 115 without a remainder is 5. So the first calculation step would look like:

115 ÷ 5 = 23

Now we repeat this action until the result equals 1:

23 ÷ 23 = 1

Now we have all the Prime Factors for number 115. It is: 5, 23

Prime Factor Tree of 115

We may also express the prime factorization of 115 as a Factor Tree:

Prime factors of 115 factorization tree of 115

Prime Factorization Table

NumberPrime Factors
22 × 52
101
2, 3, 17
103
23 × 13
3, 5, 7
2, 53
107
22 × 33
109
2, 5, 11
3, 37
24 × 7
113
2, 3, 19
5, 23
22 × 29
32 × 13
2, 59
7, 17
23 × 3 × 5
112
2, 61
3, 41
22 × 31
53
2 × 32 × 7
127
27
3, 43

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 115? (The answer is: 5, 23). Pick the number for factorization (e.g. '115'). 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 115?

Prime Factors of 115: 5, 23

How many prime factors does 115 have?

Number 115 has 2 Prime Factors