Q: What are the prime factors of the number 691,792?

 A: 2, 43237

Why are those the prime factors of the number 691,792?

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 691,792

691,792
Factor Arrows
2345,896
Factor Arrows
2172,948
Factor Arrows
286,474
Factor Arrows
243,237

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, 43237

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 43,237 = 691,792

This can also be written as 24 x 43,2371 = 691,792

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


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