Q: What are the prime factors of the number 991,456?

 A: 2, 30983

Why are those the prime factors of the number 991,456?

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 991,456

991,456
Factor Arrows
2495,728
Factor Arrows
2247,864
Factor Arrows
2123,932
Factor Arrows
261,966
Factor Arrows
230,983

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, 30983

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 30,983 = 991,456

This can also be written as 25 x 30,9831 = 991,456

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


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