Q: What are the prime factors of the number 631,060?

 A: 2, 5, 139, 227

Why are those the prime factors of the number 631,060?

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 631,060

631,060
Factor Arrows
2315,530
Factor Arrows
2157,765
Factor Arrows
531,553
Factor Arrows
139227

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, 139, 227

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 139 x 227 = 631,060

This can also be written as 22 x 51 x 1391 x 2271 = 631,060

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


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