Q: What are the prime factors of the number 116,601,066?

 A: 2, 3, 101, 21379

Why are those the prime factors of the number 116,601,066?

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 116,601,066

116,601,066
Factor Arrows
258,300,533
Factor Arrows
319,433,511
Factor Arrows
36,477,837
Factor Arrows
32,159,279
Factor Arrows
10121,379

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, 101, 21379

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 101 x 21,379 = 116,601,066

This can also be written as 21 x 33 x 1011 x 21,3791 = 116,601,066

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


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