Q: What are the prime factors of the number 760,631,568?

 A: 2, 3, 15846491

Why are those the prime factors of the number 760,631,568?

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 760,631,568

760,631,568
Factor Arrows
2380,315,784
Factor Arrows
2190,157,892
Factor Arrows
295,078,946
Factor Arrows
247,539,473
Factor Arrows
315,846,491

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, 15846491

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 15,846,491 = 760,631,568

This can also be written as 24 x 31 x 15,846,4911 = 760,631,568

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


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