Prime Factorization of 39

What is the Prime Factorization of 39?

Answer: Prime Factors of 39: 3, 13

Explanation of number 39 Prime Factorization

Prime Factorization of 39 it is expressing 39 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 39.

Since number 39 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 39, we have to iteratively divide 39 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 39:

The smallest Prime Number which can divide 39 without a remainder is 3. So the first calculation step would look like:

39 ÷ 3 = 13

Now we repeat this action until the result equals 1:

13 ÷ 13 = 1

Now we have all the Prime Factors for number 39. It is: 3, 13

Prime Factor Tree of 39

We may also express the prime factorization of 39 as a Factor Tree:

Prime factors of 39 factorization tree of 39

Prime Factorization Table

NumberPrime Factors
23 × 3
52
2, 13
33
22 × 7
29
2, 3, 5
31
25
3, 11
2, 17
5, 7
22 × 32
37
2, 19
3, 13
23 × 5
41
2, 3, 7
43
22 × 11
32 × 5
2, 23
47
24 × 3
72
2 × 52
3, 17
22 × 13
53

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 39? (The answer is: 3, 13). Pick the number for factorization (e.g. '39'). 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 39?

Prime Factors of 39: 3, 13

How many prime factors does 39 have?

Number 39 has 2 Prime Factors