Q: What are the prime factors of the number 131,613,266?

 A: 2, 19, 83, 41729

Why are those the prime factors of the number 131,613,266?

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 131,613,266

131,613,266
Factor Arrows
265,806,633
Factor Arrows
193,463,507
Factor Arrows
8341,729

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, 19, 83, 41729

We can check our work by multiplying all of the prime factors together: 2 x 19 x 83 x 41,729 = 131,613,266

This can also be written as 21 x 191 x 831 x 41,7291 = 131,613,266

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


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