Q: What are the prime factors of the number 127,876,077?

 A: 3, 7, 8353

Why are those the prime factors of the number 127,876,077?

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 127,876,077

127,876,077
Factor Arrows
342,625,359
Factor Arrows
314,208,453
Factor Arrows
34,736,151
Factor Arrows
31,578,717
Factor Arrows
3526,239
Factor Arrows
3175,413
Factor Arrows
358,471
Factor Arrows
78,353

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, 7, 8353

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 3 x 7 x 8,353 = 127,876,077

This can also be written as 37 x 71 x 8,3531 = 127,876,077

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


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