Q: What are the prime factors of the number 279,804?

 A: 2, 3, 7, 3331

Why are those the prime factors of the number 279,804?

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 279,804

279,804
Factor Arrows
2139,902
Factor Arrows
269,951
Factor Arrows
323,317
Factor Arrows
73,331

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, 7, 3331

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 3,331 = 279,804

This can also be written as 22 x 31 x 71 x 3,3311 = 279,804

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


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