Q: What are the prime factors of the number 85,205,655?

 A: 3, 5, 631153

Why are those the prime factors of the number 85,205,655?

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 85,205,655

85,205,655
Factor Arrows
328,401,885
Factor Arrows
39,467,295
Factor Arrows
33,155,765
Factor Arrows
5631,153

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, 631153

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 631,153 = 85,205,655

This can also be written as 33 x 51 x 631,1531 = 85,205,655

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


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