Q: What are the prime factors of the number 579,992?

 A: 2, 7, 10357

Why are those the prime factors of the number 579,992?

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 579,992

579,992
Factor Arrows
2289,996
Factor Arrows
2144,998
Factor Arrows
272,499
Factor Arrows
710,357

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, 10357

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 10,357 = 579,992

This can also be written as 23 x 71 x 10,3571 = 579,992

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


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