Q: What are the prime factors of the number 131,131,125?

 A: 3, 5, 229, 509

Why are those the prime factors of the number 131,131,125?

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 131,131,125

131,131,125
Factor Arrows
343,710,375
Factor Arrows
314,570,125
Factor Arrows
52,914,025
Factor Arrows
5582,805
Factor Arrows
5116,561
Factor Arrows
229509

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, 229, 509

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 5 x 5 x 229 x 509 = 131,131,125

This can also be written as 32 x 53 x 2291 x 5091 = 131,131,125

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


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