Q: What are the prime factors of the number 317,904?

 A: 2, 3, 37, 179

Why are those the prime factors of the number 317,904?

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 317,904

317,904
Factor Arrows
2158,952
Factor Arrows
279,476
Factor Arrows
239,738
Factor Arrows
219,869
Factor Arrows
36,623
Factor Arrows
37179

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, 37, 179

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 37 x 179 = 317,904

This can also be written as 24 x 31 x 371 x 1791 = 317,904

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


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