Q: What are the prime factors of the number 978,579?

 A: 3, 7, 317

Why are those the prime factors of the number 978,579?

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 978,579

978,579
Factor Arrows
3326,193
Factor Arrows
3108,731
Factor Arrows
715,533
Factor Arrows
72,219
Factor Arrows
7317

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, 7, 317

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 7 x 7 x 317 = 978,579

This can also be written as 32 x 73 x 3171 = 978,579

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


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