Q: What are the prime factors of the number 637,150?

 A: 2, 5, 12743

Why are those the prime factors of the number 637,150?

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 637,150

637,150
Factor Arrows
2318,575
Factor Arrows
563,715
Factor Arrows
512,743

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, 5, 12743

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 12,743 = 637,150

This can also be written as 21 x 52 x 12,7431 = 637,150

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


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