Q: What are the prime factors of the number 639,625?

 A: 5, 7, 17, 43

Why are those the prime factors of the number 639,625?

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 639,625

639,625
Factor Arrows
5127,925
Factor Arrows
525,585
Factor Arrows
55,117
Factor Arrows
7731
Factor Arrows
1743

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:

5, 7, 17, 43

We can check our work by multiplying all of the prime factors together: 5 x 5 x 5 x 7 x 17 x 43 = 639,625

This can also be written as 53 x 71 x 171 x 431 = 639,625

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


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