Q: What are the prime factors of the number 117,077,616?

 A: 2, 3, 271013

Why are those the prime factors of the number 117,077,616?

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 117,077,616

117,077,616
Factor Arrows
258,538,808
Factor Arrows
229,269,404
Factor Arrows
214,634,702
Factor Arrows
27,317,351
Factor Arrows
32,439,117
Factor Arrows
3813,039
Factor Arrows
3271,013

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, 271013

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 3 x 271,013 = 117,077,616

This can also be written as 24 x 33 x 271,0131 = 117,077,616

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


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