Q: What are the prime factors of the number 116,728,656?

 A: 2, 3, 11, 221077

Why are those the prime factors of the number 116,728,656?

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 116,728,656

116,728,656
Factor Arrows
258,364,328
Factor Arrows
229,182,164
Factor Arrows
214,591,082
Factor Arrows
27,295,541
Factor Arrows
32,431,847
Factor Arrows
11221,077

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, 221077

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 11 x 221,077 = 116,728,656

This can also be written as 24 x 31 x 111 x 221,0771 = 116,728,656

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


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