Q: What are the prime factors of the number 560,371?

 A: 7, 17, 277

Why are those the prime factors of the number 560,371?

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 560,371

560,371
Factor Arrows
780,053
Factor Arrows
174,709
Factor Arrows
17277

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:

7, 17, 277

We can check our work by multiplying all of the prime factors together: 7 x 17 x 17 x 277 = 560,371

This can also be written as 71 x 172 x 2771 = 560,371

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


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