Q: What are the prime factors of the number 673,935?

 A: 3, 5, 179, 251

Why are those the prime factors of the number 673,935?

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 673,935

673,935
Factor Arrows
3224,645
Factor Arrows
544,929
Factor Arrows
179251

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:

3, 5, 179, 251

We can check our work by multiplying all of the prime factors together: 3 x 5 x 179 x 251 = 673,935

This can also be written as 31 x 51 x 1791 x 2511 = 673,935

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


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