Q: What are the prime factors of the number 15,792?

 A: 2, 3, 7, 47

Why are those the prime factors of the number 15,792?

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 15,792

15,792
Factor Arrows
27,896
Factor Arrows
23,948
Factor Arrows
21,974
Factor Arrows
2987
Factor Arrows
3329
Factor Arrows
747

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, 3, 7, 47

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 7 x 47 = 15,792

This can also be written as 24 x 31 x 71 x 471 = 15,792

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


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