Q: What are the prime factors of the number 688,863,717?

 A: 3, 563, 45317

Why are those the prime factors of the number 688,863,717?

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 688,863,717

688,863,717
Factor Arrows
3229,621,239
Factor Arrows
376,540,413
Factor Arrows
325,513,471
Factor Arrows
56345,317

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, 563, 45317

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 563 x 45,317 = 688,863,717

This can also be written as 33 x 5631 x 45,3171 = 688,863,717

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


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