Prime Factorization of 116

What is the Prime Factorization of 116?

Answer: Prime Factors of 116: 2, 2, 29

or

22 × 29

Explanation of number 116 Prime Factorization

Prime Factorization of 116 it is expressing 116 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 116.

Since number 116 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 116, we have to iteratively divide 116 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 116:

The smallest Prime Number which can divide 116 without a remainder is 2. So the first calculation step would look like:

116 ÷ 2 = 58

Now we repeat this action until the result equals 1:

58 ÷ 2 = 29

29 ÷ 29 = 1

Now we have all the Prime Factors for number 116. It is: 2, 2, 29

Or you may also write it in exponential form: 22 × 29

Prime Factor Tree of 116

We may also express the prime factorization of 116 as a Factor Tree:

Prime factors of 116 factorization tree of 116

Prime Factorization Table

NumberPrime Factors
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
2, 5, 13

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 116? (The answer is: 2, 2, 29). Pick the number for factorization (e.g. '116'). 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 116?

Prime Factors of 116: 2, 2, 29

How many prime factors does 116 have?

Number 116 has 3 Prime Factors

What is the Prime Factorization of 116 in exponential form?

The Prime Factorization of the number 116 in the exponential form is: 22 × 29