Q: What are the prime factors of the number 323,680?

 A: 2, 5, 7, 17

Why are those the prime factors of the number 323,680?

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 323,680

323,680
Factor Arrows
2161,840
Factor Arrows
280,920
Factor Arrows
240,460
Factor Arrows
220,230
Factor Arrows
210,115
Factor Arrows
52,023
Factor Arrows
7289
Factor Arrows
1717

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, 5, 7, 17

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 7 x 17 x 17 = 323,680

This can also be written as 25 x 51 x 71 x 172 = 323,680

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


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