Q: What are the prime factors of the number 686,651,715?

 A: 3, 5, 5086309

Why are those the prime factors of the number 686,651,715?

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 686,651,715

686,651,715
Factor Arrows
3228,883,905
Factor Arrows
376,294,635
Factor Arrows
325,431,545
Factor Arrows
55,086,309

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, 5086309

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 5,086,309 = 686,651,715

This can also be written as 33 x 51 x 5,086,3091 = 686,651,715

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


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