Q: What are the prime factors of the number 991,690?

 A: 2, 5, 7, 31, 457

Why are those the prime factors of the number 991,690?

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 991,690

991,690
Factor Arrows
2495,845
Factor Arrows
599,169
Factor Arrows
714,167
Factor Arrows
31457

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, 7, 31, 457

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 31 x 457 = 991,690

This can also be written as 21 x 51 x 71 x 311 x 4571 = 991,690

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


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