Q: What are the prime factors of the number 680,656?

 A: 2, 19, 2239

Why are those the prime factors of the number 680,656?

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 680,656

680,656
Factor Arrows
2340,328
Factor Arrows
2170,164
Factor Arrows
285,082
Factor Arrows
242,541
Factor Arrows
192,239

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, 19, 2239

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 19 x 2,239 = 680,656

This can also be written as 24 x 191 x 2,2391 = 680,656

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


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