Q: What are the prime factors of the number 630,992?

 A: 2, 113, 349

Why are those the prime factors of the number 630,992?

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 630,992

630,992
Factor Arrows
2315,496
Factor Arrows
2157,748
Factor Arrows
278,874
Factor Arrows
239,437
Factor Arrows
113349

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, 113, 349

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 113 x 349 = 630,992

This can also be written as 24 x 1131 x 3491 = 630,992

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


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