Q: What are the prime factors of the number 116,716,512?

 A: 2, 3, 11, 110527

Why are those the prime factors of the number 116,716,512?

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 116,716,512

116,716,512
Factor Arrows
258,358,256
Factor Arrows
229,179,128
Factor Arrows
214,589,564
Factor Arrows
27,294,782
Factor Arrows
23,647,391
Factor Arrows
31,215,797
Factor Arrows
11110,527

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, 110527

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 11 x 110,527 = 116,716,512

This can also be written as 25 x 31 x 111 x 110,5271 = 116,716,512

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


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