Q: What are the prime factors of the number 660,505,665?

 A: 3, 5, 109, 403979

Why are those the prime factors of the number 660,505,665?

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 660,505,665

660,505,665
Factor Arrows
3220,168,555
Factor Arrows
544,033,711
Factor Arrows
109403,979

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, 5, 109, 403979

We can check our work by multiplying all of the prime factors together: 3 x 5 x 109 x 403,979 = 660,505,665

This can also be written as 31 x 51 x 1091 x 403,9791 = 660,505,665

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


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