Q: What are the prime factors of the number 116,064,608?

 A: 2, 11, 329729

Why are those the prime factors of the number 116,064,608?

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 116,064,608

116,064,608
Factor Arrows
258,032,304
Factor Arrows
229,016,152
Factor Arrows
214,508,076
Factor Arrows
27,254,038
Factor Arrows
23,627,019
Factor Arrows
11329,729

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, 11, 329729

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 11 x 329,729 = 116,064,608

This can also be written as 25 x 111 x 329,7291 = 116,064,608

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


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