Q: What are the prime factors of the number 116,729,136?

 A: 2, 3, 31, 79, 331

Why are those the prime factors of the number 116,729,136?

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 116,729,136

116,729,136
Factor Arrows
258,364,568
Factor Arrows
229,182,284
Factor Arrows
214,591,142
Factor Arrows
27,295,571
Factor Arrows
32,431,857
Factor Arrows
3810,619
Factor Arrows
3126,149
Factor Arrows
79331

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, 31, 79, 331

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 31 x 79 x 331 = 116,729,136

This can also be written as 24 x 32 x 311 x 791 x 3311 = 116,729,136

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


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