Q: What are the prime factors of the number 116,616,110?

 A: 2, 5, 13, 19, 31, 1523

Why are those the prime factors of the number 116,616,110?

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 116,616,110

116,616,110
Factor Arrows
258,308,055
Factor Arrows
511,661,611
Factor Arrows
13897,047
Factor Arrows
1947,213
Factor Arrows
311,523

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, 5, 13, 19, 31, 1523

We can check our work by multiplying all of the prime factors together: 2 x 5 x 13 x 19 x 31 x 1,523 = 116,616,110

This can also be written as 21 x 51 x 131 x 191 x 311 x 1,5231 = 116,616,110

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


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