Prime Factorization of 321

What is the Prime Factorization of 321?

Answer: Prime Factors of 321: 3, 107

Explanation of number 321 Prime Factorization

Prime Factorization of 321 it is expressing 321 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 321.

Since number 321 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 321, we have to iteratively divide 321 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 321:

The smallest Prime Number which can divide 321 without a remainder is 3. So the first calculation step would look like:

321 ÷ 3 = 107

Now we repeat this action until the result equals 1:

107 ÷ 107 = 1

Now we have all the Prime Factors for number 321. It is: 3, 107

Prime Factor Tree of 321

We may also express the prime factorization of 321 as a Factor Tree:

Prime factors of 321 factorization tree of 321

Prime Factorization Table

NumberPrime Factors
2 × 32 × 17
307
22 × 7 × 11
3, 103
2, 5, 31
311
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

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 321? (The answer is: 3, 107). Pick the number for factorization (e.g. '321'). 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 321?

Prime Factors of 321: 3, 107

How many prime factors does 321 have?

Number 321 has 2 Prime Factors