Q: What are the prime factors of the number 584,493?

 A: 3, 7, 13, 2141

Why are those the prime factors of the number 584,493?

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 584,493

584,493
Factor Arrows
3194,831
Factor Arrows
727,833
Factor Arrows
132,141

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, 7, 13, 2141

We can check our work by multiplying all of the prime factors together: 3 x 7 x 13 x 2,141 = 584,493

This can also be written as 31 x 71 x 131 x 2,1411 = 584,493

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


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