Q: What are the prime factors of the number 673,708?

 A: 2, 7, 24061

Why are those the prime factors of the number 673,708?

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 673,708

673,708
Factor Arrows
2336,854
Factor Arrows
2168,427
Factor Arrows
724,061

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, 7, 24061

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 24,061 = 673,708

This can also be written as 22 x 71 x 24,0611 = 673,708

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


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