Q: What are the prime factors of the number 127,896?

 A: 2, 3, 73

Why are those the prime factors of the number 127,896?

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 127,896

127,896
Factor Arrows
263,948
Factor Arrows
231,974
Factor Arrows
215,987
Factor Arrows
35,329
Factor Arrows
7373

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, 73

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 73 x 73 = 127,896

This can also be written as 23 x 31 x 732 = 127,896

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


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