Q: What are the prime factors of the number 116,546,016?

 A: 2, 3, 17, 71413

Why are those the prime factors of the number 116,546,016?

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 116,546,016

116,546,016
Factor Arrows
258,273,008
Factor Arrows
229,136,504
Factor Arrows
214,568,252
Factor Arrows
27,284,126
Factor Arrows
23,642,063
Factor Arrows
31,214,021
Factor Arrows
1771,413

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, 17, 71413

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 17 x 71,413 = 116,546,016

This can also be written as 25 x 31 x 171 x 71,4131 = 116,546,016

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


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