Q: What are the prime factors of the number 131,115,135?

 A: 3, 5, 17, 514177

Why are those the prime factors of the number 131,115,135?

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 131,115,135

131,115,135
Factor Arrows
343,705,045
Factor Arrows
58,741,009
Factor Arrows
17514,177

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, 5, 17, 514177

We can check our work by multiplying all of the prime factors together: 3 x 5 x 17 x 514,177 = 131,115,135

This can also be written as 31 x 51 x 171 x 514,1771 = 131,115,135

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


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