Q: What are the prime factors of the number 680,166?

 A: 2, 3, 29, 1303

Why are those the prime factors of the number 680,166?

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 680,166

680,166
Factor Arrows
2340,083
Factor Arrows
3113,361
Factor Arrows
337,787
Factor Arrows
291,303

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, 29, 1303

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 29 x 1,303 = 680,166

This can also be written as 21 x 32 x 291 x 1,3031 = 680,166

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


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