Q: What are the prime factors of the number 15,232?

 A: 2, 7, 17

Why are those the prime factors of the number 15,232?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 15,232

15,232
Factor Arrows
27,616
Factor Arrows
23,808
Factor Arrows
21,904
Factor Arrows
2952
Factor Arrows
2476
Factor Arrows
2238
Factor Arrows
2119
Factor Arrows
717

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 7, 17

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 17 = 15,232

This can also be written as 27 x 71 x 171 = 15,232

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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