Q: What are the prime factors of the number 13,425?

 A: 3, 5, 179

Why are those the prime factors of the number 13,425?

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 13,425

13,425
Factor Arrows
34,475
Factor Arrows
5895
Factor Arrows
5179

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:

3, 5, 179

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 179 = 13,425

This can also be written as 31 x 52 x 1791 = 13,425

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


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