Q: What are the prime factors of the number 127,691,208?

 A: 2, 3, 591163

Why are those the prime factors of the number 127,691,208?

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 127,691,208

127,691,208
Factor Arrows
263,845,604
Factor Arrows
231,922,802
Factor Arrows
215,961,401
Factor Arrows
35,320,467
Factor Arrows
31,773,489
Factor Arrows
3591,163

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, 591163

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 591,163 = 127,691,208

This can also be written as 23 x 33 x 591,1631 = 127,691,208

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


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