Q: What are the prime factors of the number 664,065,310?

 A: 2, 5, 79, 840589

Why are those the prime factors of the number 664,065,310?

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 664,065,310

664,065,310
Factor Arrows
2332,032,655
Factor Arrows
566,406,531
Factor Arrows
79840,589

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, 5, 79, 840589

We can check our work by multiplying all of the prime factors together: 2 x 5 x 79 x 840,589 = 664,065,310

This can also be written as 21 x 51 x 791 x 840,5891 = 664,065,310

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


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