Q: What are the prime factors of the number 131,877,025?

 A: 5, 7, 753583

Why are those the prime factors of the number 131,877,025?

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 131,877,025

131,877,025
Factor Arrows
526,375,405
Factor Arrows
55,275,081
Factor Arrows
7753,583

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:

5, 7, 753583

We can check our work by multiplying all of the prime factors together: 5 x 5 x 7 x 753,583 = 131,877,025

This can also be written as 52 x 71 x 753,5831 = 131,877,025

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


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