Q: What are the prime factors of the number 574,533?

 A: 3, 41, 173

Why are those the prime factors of the number 574,533?

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 574,533

574,533
Factor Arrows
3191,511
Factor Arrows
363,837
Factor Arrows
321,279
Factor Arrows
37,093
Factor Arrows
41173

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, 41, 173

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 41 x 173 = 574,533

This can also be written as 34 x 411 x 1731 = 574,533

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


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