Prime Factorization of 15

What is the Prime Factorization of 15?

Answer: Prime Factors of 15: 3, 5

Explanation of number 15 Prime Factorization

Prime Factorization of 15 it is expressing 15 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 15.

Since number 15 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 15, we have to iteratively divide 15 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 15:

The smallest Prime Number which can divide 15 without a remainder is 3. So the first calculation step would look like:

15 ÷ 3 = 5

Now we repeat this action until the result equals 1:

5 ÷ 5 = 1

Now we have all the Prime Factors for number 15. It is: 3, 5

Prime Factor Tree of 15

We may also express the prime factorization of 15 as a Factor Tree:

Prime factors of 15 factorization tree of 15

Prime Factorization Table

NumberPrime Factors
1
2
3
22
5
2, 3
7
23
32
2, 5
11
22 × 3
13
2, 7
3, 5
24
17
2 × 32
19
22 × 5
3, 7
2, 11
23
23 × 3
52
2, 13
33
22 × 7
29
2, 3, 5

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 15? (The answer is: 3, 5). Pick the number for factorization (e.g. '15'). 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 15?

Prime Factors of 15: 3, 5

How many prime factors does 15 have?

Number 15 has 2 Prime Factors