Q: What are the prime factors of the number 575,672,112?

 A: 2, 3, 3997723

Why are those the prime factors of the number 575,672,112?

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 575,672,112

575,672,112
Factor Arrows
2287,836,056
Factor Arrows
2143,918,028
Factor Arrows
271,959,014
Factor Arrows
235,979,507
Factor Arrows
311,993,169
Factor Arrows
33,997,723

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, 3997723

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 3,997,723 = 575,672,112

This can also be written as 24 x 32 x 3,997,7231 = 575,672,112

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


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