Q: What are the prime factors of the number 127,501,044?

 A: 2, 3, 11, 89, 10853

Why are those the prime factors of the number 127,501,044?

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 127,501,044

127,501,044
Factor Arrows
263,750,522
Factor Arrows
231,875,261
Factor Arrows
310,625,087
Factor Arrows
11965,917
Factor Arrows
8910,853

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, 89, 10853

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 11 x 89 x 10,853 = 127,501,044

This can also be written as 22 x 31 x 111 x 891 x 10,8531 = 127,501,044

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


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