Prime Factorization of 936

What is the Prime Factorization of 936?

Answer: Prime Factors of 936: 2, 2, 2, 3, 3, 13

or

23 × 32 × 13

Explanation of number 936 Prime Factorization

Prime Factorization of 936 it is expressing 936 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 936.

Since number 936 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 936, we have to iteratively divide 936 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 936:

The smallest Prime Number which can divide 936 without a remainder is 2. So the first calculation step would look like:

936 ÷ 2 = 468

Now we repeat this action until the result equals 1:

468 ÷ 2 = 234

234 ÷ 2 = 117

117 ÷ 3 = 39

39 ÷ 3 = 13

13 ÷ 13 = 1

Now we have all the Prime Factors for number 936. It is: 2, 2, 2, 3, 3, 13

Or you may also write it in exponential form: 23 × 32 × 13

Prime Factor Tree of 936

We may also express the prime factorization of 936 as a Factor Tree:

See Also

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 936? (The answer is: 2, 2, 2, 3, 3, 13). Pick the number for factorization (e.g. '936'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

Prime Factorization Table

NumberPrime Factors
9213, 307
9222, 461
92313, 71
22 × 3 × 7 × 11
52 × 37
9262, 463
92732 × 103
25 × 29
929929
2, 3, 5, 31
93172 × 19
93222 × 233
9333, 311
9342, 467
5, 11, 17
23 × 32 × 13
937
9382, 7, 67
3, 313
22 × 5 × 47
941
9422, 3, 157
23, 41
24 × 59
33 × 5 × 7
2, 11, 43
947
94822 × 3 × 79
13, 73
2 × 52 × 19

FAQ

What is the Prime Factorization of 936?

Prime Factors of 936: 2, 2, 2, 3, 3, 13

How many prime factors does 936 have?

Number 936 has 6 Prime Factors

What is the Prime Factorization of 936 in exponential form?

The Prime Factorization of the number 936 in the exponential form is: 23 × 32 × 13