Prime Factorization of 792

What is the Prime Factorization of 792?

Answer: Prime Factors of 792: 2, 2, 2, 3, 3, 11

or

23 × 32 × 11

Explanation of number 792 Prime Factorization

Prime Factorization of 792 it is expressing 792 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 792.

Since number 792 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 792, we have to iteratively divide 792 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 792:

The smallest Prime Number which can divide 792 without a remainder is 2. So the first calculation step would look like:

792 ÷ 2 = 396

Now we repeat this action until the result equals 1:

396 ÷ 2 = 198

198 ÷ 2 = 99

99 ÷ 3 = 33

33 ÷ 3 = 11

11 ÷ 11 = 1

Now we have all the Prime Factors for number 792. It is: 2, 2, 2, 3, 3, 11

Or you may also write it in exponential form: 23 × 32 × 11

Prime Factor Tree of 792

We may also express the prime factorization of 792 as a Factor Tree:

Prime factors of 792 factorization tree of 792

Prime Factorization Table

NumberPrime Factors
3, 7, 37
2, 389
19, 41
22 × 3 × 5 × 13
78111, 71
2, 17, 23
33 × 29
24 × 72
5, 157
2, 3, 131
787787
78822 × 197
7893, 263
7902, 5, 79
7917, 113
23 × 32 × 11
13, 61
2, 397
3, 5, 53
79622 × 199
797797
7982, 3, 7, 19
17, 47
25 × 52
32 × 89
8022, 401
80311, 73
22 × 3 × 67
8055, 7, 23
8062, 13, 31

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 792? (The answer is: 2, 2, 2, 3, 3, 11). Pick the number for factorization (e.g. '792'). 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 792?

Prime Factors of 792: 2, 2, 2, 3, 3, 11

How many prime factors does 792 have?

Number 792 has 6 Prime Factors

What is the Prime Factorization of 792 in exponential form?

The Prime Factorization of the number 792 in the exponential form is: 23 × 32 × 11