Q: What are the prime factors of the number 671,580?

 A: 2, 3, 5, 7, 13, 41

Why are those the prime factors of the number 671,580?

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 671,580

671,580
Factor Arrows
2335,790
Factor Arrows
2167,895
Factor Arrows
355,965
Factor Arrows
318,655
Factor Arrows
53,731
Factor Arrows
7533
Factor Arrows
1341

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, 5, 7, 13, 41

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 7 x 13 x 41 = 671,580

This can also be written as 22 x 32 x 51 x 71 x 131 x 411 = 671,580

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


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