Prime Factorization of 399

What is the Prime Factorization of 399?

Answer: Prime Factors of 399: 3, 7, 19

Explanation of number 399 Prime Factorization

Prime Factorization of 399 it is expressing 399 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 399.

Since number 399 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 399, we have to iteratively divide 399 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 399:

The smallest Prime Number which can divide 399 without a remainder is 3. So the first calculation step would look like:

399 ÷ 3 = 133

Now we repeat this action until the result equals 1:

133 ÷ 7 = 19

19 ÷ 19 = 1

Now we have all the Prime Factors for number 399. It is: 3, 7, 19

Prime Factor Tree of 399

We may also express the prime factorization of 399 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 399? (The answer is: 3, 7, 19). Pick the number for factorization (e.g. '399'). 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
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
2, 7, 29
11, 37
23 × 3 × 17
409
2, 5, 41
3, 137
22 × 103
4137, 59

FAQ

What is the Prime Factorization of 399?

Prime Factors of 399: 3, 7, 19

How many prime factors does 399 have?

Number 399 has 3 Prime Factors