Q: What are the prime factors of the number 325,425?

 A: 3, 5, 4339

Why are those the prime factors of the number 325,425?

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 325,425

325,425
Factor Arrows
3108,475
Factor Arrows
521,695
Factor Arrows
54,339

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, 4339

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 4,339 = 325,425

This can also be written as 31 x 52 x 4,3391 = 325,425

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


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