Q: What are the prime factors of the number 127,700,166?

 A: 2, 3, 11, 29, 137, 487

Why are those the prime factors of the number 127,700,166?

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 127,700,166

127,700,166
Factor Arrows
263,850,083
Factor Arrows
321,283,361
Factor Arrows
111,934,851
Factor Arrows
2966,719
Factor Arrows
137487

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, 11, 29, 137, 487

We can check our work by multiplying all of the prime factors together: 2 x 3 x 11 x 29 x 137 x 487 = 127,700,166

This can also be written as 21 x 31 x 111 x 291 x 1371 x 4871 = 127,700,166

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


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