Q: What are the prime factors of the number 85,110,066?

 A: 2, 3, 31, 127, 1201

Why are those the prime factors of the number 85,110,066?

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 85,110,066

85,110,066
Factor Arrows
242,555,033
Factor Arrows
314,185,011
Factor Arrows
34,728,337
Factor Arrows
31152,527
Factor Arrows
1271,201

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, 3, 31, 127, 1201

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 31 x 127 x 1,201 = 85,110,066

This can also be written as 21 x 32 x 311 x 1271 x 1,2011 = 85,110,066

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


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