Q: What are the prime factors of the number 592,575?

 A: 3, 5, 7901

Why are those the prime factors of the number 592,575?

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 592,575

592,575
Factor Arrows
3197,525
Factor Arrows
539,505
Factor Arrows
57,901

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, 5, 7901

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 7,901 = 592,575

This can also be written as 31 x 52 x 7,9011 = 592,575

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


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