Q: What are the prime factors of the number 752,720,571?

 A: 3, 4349, 19231

Why are those the prime factors of the number 752,720,571?

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 752,720,571

752,720,571
Factor Arrows
3250,906,857
Factor Arrows
383,635,619
Factor Arrows
4,34919,231

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, 4349, 19231

We can check our work by multiplying all of the prime factors together: 3 x 3 x 4,349 x 19,231 = 752,720,571

This can also be written as 32 x 4,3491 x 19,2311 = 752,720,571

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


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