Q: What are the prime factors of the number 478,638?

 A: 2, 3, 26591

Why are those the prime factors of the number 478,638?

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 478,638

478,638
Factor Arrows
2239,319
Factor Arrows
379,773
Factor Arrows
326,591

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, 26591

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 26,591 = 478,638

This can also be written as 21 x 32 x 26,5911 = 478,638

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


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