Prime Factorization of 156

What is the Prime Factorization of 156?

Answer: Prime Factors of 156: 2, 2, 3, 13

or

22 × 3 × 13

Explanation of number 156 Prime Factorization

Prime Factorization of 156 it is expressing 156 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 156.

Since number 156 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 156, we have to iteratively divide 156 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 156:

The smallest Prime Number which can divide 156 without a remainder is 2. So the first calculation step would look like:

156 ÷ 2 = 78

Now we repeat this action until the result equals 1:

78 ÷ 2 = 39

39 ÷ 3 = 13

13 ÷ 13 = 1

Now we have all the Prime Factors for number 156. It is: 2, 2, 3, 13

Or you may also write it in exponential form: 22 × 3 × 13

Prime Factor Tree of 156

We may also express the prime factorization of 156 as a Factor Tree:

Prime factors of 156 factorization tree of 156

Prime Factorization Table

NumberPrime Factors
3, 47
2, 71
11, 13
24 × 32
5, 29
2, 73
3 × 72
22 × 37
149
2 × 3 × 52
151
23 × 19
32 × 17
2, 7, 11
5, 31
22 × 3 × 13
157
2, 79
3, 53
25 × 5
7, 23
2 × 34
163
22 × 41
3, 5, 11
2, 83
167
23 × 3 × 7
132
2, 5, 17

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 156? (The answer is: 2, 2, 3, 13). Pick the number for factorization (e.g. '156'). 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 156?

Prime Factors of 156: 2, 2, 3, 13

How many prime factors does 156 have?

Number 156 has 4 Prime Factors

What is the Prime Factorization of 156 in exponential form?

The Prime Factorization of the number 156 in the exponential form is: 22 × 3 × 13