Q: What are the prime factors of the number 715,501,437?

 A: 3, 7, 59, 577483

Why are those the prime factors of the number 715,501,437?

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 715,501,437

715,501,437
Factor Arrows
3238,500,479
Factor Arrows
734,071,497
Factor Arrows
59577,483

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, 7, 59, 577483

We can check our work by multiplying all of the prime factors together: 3 x 7 x 59 x 577,483 = 715,501,437

This can also be written as 31 x 71 x 591 x 577,4831 = 715,501,437

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


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