Q: What are the prime factors of the number 115,105,797?

 A: 3, 43, 6917

Why are those the prime factors of the number 115,105,797?

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 115,105,797

115,105,797
Factor Arrows
338,368,599
Factor Arrows
312,789,533
Factor Arrows
43297,431
Factor Arrows
436,917

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, 43, 6917

We can check our work by multiplying all of the prime factors together: 3 x 3 x 43 x 43 x 6,917 = 115,105,797

This can also be written as 32 x 432 x 6,9171 = 115,105,797

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


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