Prime Factorization of 391

What is the Prime Factorization of 391?

Answer: Prime Factors of 391: 17, 23

Explanation of number 391 Prime Factorization

Prime Factorization of 391 it is expressing 391 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 391.

Since number 391 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 391, we have to iteratively divide 391 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 391:

The smallest Prime Number which can divide 391 without a remainder is 17. So the first calculation step would look like:

391 ÷ 17 = 23

Now we repeat this action until the result equals 1:

23 ÷ 23 = 1

Now we have all the Prime Factors for number 391. It is: 17, 23

Prime Factor Tree of 391

We may also express the prime factorization of 391 as a Factor Tree:

See Also

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 391? (The answer is: 17, 23). Pick the number for factorization (e.g. '391'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

Prime Factorization Table

NumberPrime Factors
23 × 47
13, 29
2 × 33 × 7
379
22 × 5 × 19
3, 127
2, 191
383
27 × 3
5, 7, 11
2, 193
32 × 43
22 × 97
389
2, 3, 5, 13
17, 23
23 × 72
3, 131
2, 197
5, 79
22 × 32 × 11
397
2, 199
3, 7, 19
24 × 52
401
2, 3, 67
13, 31
22 × 101
34 × 5

FAQ

What is the Prime Factorization of 391?

Prime Factors of 391: 17, 23

How many prime factors does 391 have?

Number 391 has 2 Prime Factors