Prime Factorization of 136

What is the Prime Factorization of 136?

Answer: Prime Factors of 136: 2, 2, 2, 17

or

23 × 17

Explanation of number 136 Prime Factorization

Prime Factorization of 136 it is expressing 136 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 136.

Since number 136 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 136, we have to iteratively divide 136 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 136:

The smallest Prime Number which can divide 136 without a remainder is 2. So the first calculation step would look like:

136 ÷ 2 = 68

Now we repeat this action until the result equals 1:

68 ÷ 2 = 34

34 ÷ 2 = 17

17 ÷ 17 = 1

Now we have all the Prime Factors for number 136. It is: 2, 2, 2, 17

Or you may also write it in exponential form: 23 × 17

Prime Factor Tree of 136

We may also express the prime factorization of 136 as a Factor Tree:

Prime factors of 136 factorization tree of 136

Prime Factorization Table

NumberPrime Factors
112
2, 61
3, 41
22 × 31
53
2 × 32 × 7
127
27
3, 43
2, 5, 13
131
22 × 3 × 11
7, 19
2, 67
33 × 5
23 × 17
137
2, 3, 23
139
22 × 5 × 7
3, 47
2, 71
11, 13
24 × 32
5, 29
2, 73
3 × 72
22 × 37
149
2 × 3 × 52

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 136? (The answer is: 2, 2, 2, 17). Pick the number for factorization (e.g. '136'). 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 136?

Prime Factors of 136: 2, 2, 2, 17

How many prime factors does 136 have?

Number 136 has 4 Prime Factors

What is the Prime Factorization of 136 in exponential form?

The Prime Factorization of the number 136 in the exponential form is: 23 × 17