Q: What are the prime factors of the number 575,530?

 A: 2, 5, 67, 859

Why are those the prime factors of the number 575,530?

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 575,530

575,530
Factor Arrows
2287,765
Factor Arrows
557,553
Factor Arrows
67859

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, 67, 859

We can check our work by multiplying all of the prime factors together: 2 x 5 x 67 x 859 = 575,530

This can also be written as 21 x 51 x 671 x 8591 = 575,530

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


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