Q: What are the prime factors of the number 978,804?

 A: 2, 3, 19, 53

Why are those the prime factors of the number 978,804?

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 978,804

978,804
Factor Arrows
2489,402
Factor Arrows
2244,701
Factor Arrows
381,567
Factor Arrows
327,189
Factor Arrows
39,063
Factor Arrows
33,021
Factor Arrows
31,007
Factor Arrows
1953

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, 19, 53

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 3 x 19 x 53 = 978,804

This can also be written as 22 x 35 x 191 x 531 = 978,804

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


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