Q: What are the prime factors of the number 115,750,432?

 A: 2, 7, 19, 27197

Why are those the prime factors of the number 115,750,432?

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 115,750,432

115,750,432
Factor Arrows
257,875,216
Factor Arrows
228,937,608
Factor Arrows
214,468,804
Factor Arrows
27,234,402
Factor Arrows
23,617,201
Factor Arrows
7516,743
Factor Arrows
1927,197

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, 7, 19, 27197

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7 x 19 x 27,197 = 115,750,432

This can also be written as 25 x 71 x 191 x 27,1971 = 115,750,432

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


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