Q: What are the prime factors of the number 587,785,221?

 A: 3, 21769823

Why are those the prime factors of the number 587,785,221?

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 587,785,221

587,785,221
Factor Arrows
3195,928,407
Factor Arrows
365,309,469
Factor Arrows
321,769,823

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, 21769823

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 21,769,823 = 587,785,221

This can also be written as 33 x 21,769,8231 = 587,785,221

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


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