Q: What are the prime factors of the number 115,260?

 A: 2, 3, 5, 17, 113

Why are those the prime factors of the number 115,260?

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 115,260

115,260
Factor Arrows
257,630
Factor Arrows
228,815
Factor Arrows
39,605
Factor Arrows
51,921
Factor Arrows
17113

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, 5, 17, 113

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 17 x 113 = 115,260

This can also be written as 22 x 31 x 51 x 171 x 1131 = 115,260

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


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