Q: What are the prime factors of the number 63,135,136?

 A: 2, 107, 18439

Why are those the prime factors of the number 63,135,136?

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 63,135,136

63,135,136
Factor Arrows
231,567,568
Factor Arrows
215,783,784
Factor Arrows
27,891,892
Factor Arrows
23,945,946
Factor Arrows
21,972,973
Factor Arrows
10718,439

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, 107, 18439

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 107 x 18,439 = 63,135,136

This can also be written as 25 x 1071 x 18,4391 = 63,135,136

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


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