Prime Factorization of 322

What is the Prime Factorization of 322?

Answer: Prime Factors of 322: 2, 7, 23

Explanation of number 322 Prime Factorization

Prime Factorization of 322 it is expressing 322 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 322.

Since number 322 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 322, we have to iteratively divide 322 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 322:

The smallest Prime Number which can divide 322 without a remainder is 2. So the first calculation step would look like:

322 ÷ 2 = 161

Now we repeat this action until the result equals 1:

161 ÷ 7 = 23

23 ÷ 23 = 1

Now we have all the Prime Factors for number 322. It is: 2, 7, 23

Prime Factor Tree of 322

We may also express the prime factorization of 322 as a Factor Tree:

Prime factors of 322 factorization tree of 322

Prime Factorization Table

NumberPrime Factors
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
24 × 3 × 7

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 322? (The answer is: 2, 7, 23). Pick the number for factorization (e.g. '322'). 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 322?

Prime Factors of 322: 2, 7, 23

How many prime factors does 322 have?

Number 322 has 3 Prime Factors