Q: What are the prime factors of the number 116,122,005?

 A: 3, 5, 286721

Why are those the prime factors of the number 116,122,005?

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 116,122,005

116,122,005
Factor Arrows
338,707,335
Factor Arrows
312,902,445
Factor Arrows
34,300,815
Factor Arrows
31,433,605
Factor Arrows
5286,721

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:

3, 5, 286721

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 5 x 286,721 = 116,122,005

This can also be written as 34 x 51 x 286,7211 = 116,122,005

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


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