Q: What are the prime factors of the number 115,043,808?

 A: 2, 3, 11, 108943

Why are those the prime factors of the number 115,043,808?

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 115,043,808

115,043,808
Factor Arrows
257,521,904
Factor Arrows
228,760,952
Factor Arrows
214,380,476
Factor Arrows
27,190,238
Factor Arrows
23,595,119
Factor Arrows
31,198,373
Factor Arrows
11108,943

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, 11, 108943

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 11 x 108,943 = 115,043,808

This can also be written as 25 x 31 x 111 x 108,9431 = 115,043,808

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


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