Q: What are the prime factors of the number 127,666,721?

 A: 7, 13, 23, 181, 337

Why are those the prime factors of the number 127,666,721?

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 127,666,721

127,666,721
Factor Arrows
718,238,103
Factor Arrows
131,402,931
Factor Arrows
2360,997
Factor Arrows
181337

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:

7, 13, 23, 181, 337

We can check our work by multiplying all of the prime factors together: 7 x 13 x 23 x 181 x 337 = 127,666,721

This can also be written as 71 x 131 x 231 x 1811 x 3371 = 127,666,721

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


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