Q: What are the prime factors of the number 639,675?

 A: 3, 5, 2843

Why are those the prime factors of the number 639,675?

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 639,675

639,675
Factor Arrows
3213,225
Factor Arrows
371,075
Factor Arrows
514,215
Factor Arrows
52,843

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, 2843

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 5 x 2,843 = 639,675

This can also be written as 32 x 52 x 2,8431 = 639,675

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


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