Q: What are the prime factors of the number 582,522?

 A: 2, 3, 17, 5711

Why are those the prime factors of the number 582,522?

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 582,522

582,522
Factor Arrows
2291,261
Factor Arrows
397,087
Factor Arrows
175,711

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, 3, 17, 5711

We can check our work by multiplying all of the prime factors together: 2 x 3 x 17 x 5,711 = 582,522

This can also be written as 21 x 31 x 171 x 5,7111 = 582,522

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


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