# Prime Factorization of 327

## What is the Prime Factorization of 327?

Answer: Prime Factors of 327: 3, 109

## Explanation of number 327 Prime Factorization

Prime Factorization of 327 it is expressing 327 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 327.

Since number 327 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 327, we have to iteratively divide 327 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 327:

The smallest Prime Number which can divide 327 without a remainder is 3. So the first calculation step would look like:

327 ÷ 3 = 109

Now we repeat this action until the result equals 1:

109 ÷ 109 = 1

Now we have all the Prime Factors for number 327. It is: 3, 109

## Prime Factor Tree of 327

We may also express the prime factorization of 327 as a Factor Tree:

## Prime Factorization Table

NumberPrime Factors
23 × 3 × 13
313
2, 157
32 × 5 × 7
22 × 79
317
2, 3, 53
11, 29
26 × 5
3, 107
2, 7, 23
17, 19
22 × 34
52 × 13
2, 163
3, 109
23 × 41
7, 47
2, 3, 5, 11
331
22 × 83
32 × 37
2, 167
5, 67
24 × 3 × 7
337
2 × 132
3, 113
22 × 5 × 17
11, 31