Q: What are the prime factors of the number 992,656?

 A: 2, 7, 8863

Why are those the prime factors of the number 992,656?

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 992,656

992,656
Factor Arrows
2496,328
Factor Arrows
2248,164
Factor Arrows
2124,082
Factor Arrows
262,041
Factor Arrows
78,863

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, 7, 8863

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 8,863 = 992,656

This can also be written as 24 x 71 x 8,8631 = 992,656

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


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