Prime Factorization of 118

What is the Prime Factorization of 118?

Answer: Prime Factors of 118: 2, 59

Explanation of number 118 Prime Factorization

Prime Factorization of 118 it is expressing 118 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 118.

Since number 118 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 118, we have to iteratively divide 118 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 118:

The smallest Prime Number which can divide 118 without a remainder is 2. So the first calculation step would look like:

118 ÷ 2 = 59

Now we repeat this action until the result equals 1:

59 ÷ 59 = 1

Now we have all the Prime Factors for number 118. It is: 2, 59

Prime Factor Tree of 118

We may also express the prime factorization of 118 as a Factor Tree:

Prime factors of 118 factorization tree of 118

Prime Factorization Table

NumberPrime Factors
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
2, 5, 13
131
22 × 3 × 11

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 118? (The answer is: 2, 59). Pick the number for factorization (e.g. '118'). 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 118?

Prime Factors of 118: 2, 59

How many prime factors does 118 have?

Number 118 has 2 Prime Factors