Q: What are the prime factors of the number 580,959?

 A: 3, 21517

Why are those the prime factors of the number 580,959?

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 580,959

580,959
Factor Arrows
3193,653
Factor Arrows
364,551
Factor Arrows
321,517

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:

3, 21517

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 21,517 = 580,959

This can also be written as 33 x 21,5171 = 580,959

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


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