Q: What are the prime factors of the number 115,032,108?

 A: 2, 3, 23, 18121

Why are those the prime factors of the number 115,032,108?

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 115,032,108

115,032,108
Factor Arrows
257,516,054
Factor Arrows
228,758,027
Factor Arrows
39,586,009
Factor Arrows
23416,783
Factor Arrows
2318,121

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, 23, 18121

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 23 x 23 x 18,121 = 115,032,108

This can also be written as 22 x 31 x 232 x 18,1211 = 115,032,108

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


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