Q: What are the prime factors of the number 596,020?

 A: 2, 5, 17, 1753

Why are those the prime factors of the number 596,020?

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 596,020

596,020
Factor Arrows
2298,010
Factor Arrows
2149,005
Factor Arrows
529,801
Factor Arrows
171,753

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, 5, 17, 1753

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 17 x 1,753 = 596,020

This can also be written as 22 x 51 x 171 x 1,7531 = 596,020

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


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