Q: What are the prime factors of the number 116,220,816?

 A: 2, 3, 807089

Why are those the prime factors of the number 116,220,816?

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 116,220,816

116,220,816
Factor Arrows
258,110,408
Factor Arrows
229,055,204
Factor Arrows
214,527,602
Factor Arrows
27,263,801
Factor Arrows
32,421,267
Factor Arrows
3807,089

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, 807089

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 807,089 = 116,220,816

This can also be written as 24 x 32 x 807,0891 = 116,220,816

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


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