Q: What are the prime factors of the number 590,992?

 A: 2, 43, 859

Why are those the prime factors of the number 590,992?

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 590,992

590,992
Factor Arrows
2295,496
Factor Arrows
2147,748
Factor Arrows
273,874
Factor Arrows
236,937
Factor Arrows
43859

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, 43, 859

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 43 x 859 = 590,992

This can also be written as 24 x 431 x 8591 = 590,992

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


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