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 factors of 327 factorization tree of 327

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

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 327? (The answer is: 3, 109). Pick the number for factorization (e.g. '327'). 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 327?

Prime Factors of 327: 3, 109

How many prime factors does 327 have?

Number 327 has 2 Prime Factors