Q: What are the prime factors of the number 81,380,767?

 A: 13, 373, 1291

Why are those the prime factors of the number 81,380,767?

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 81,380,767

81,380,767
Factor Arrows
136,260,059
Factor Arrows
13481,543
Factor Arrows
3731,291

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:

13, 373, 1291

We can check our work by multiplying all of the prime factors together: 13 x 13 x 373 x 1,291 = 81,380,767

This can also be written as 132 x 3731 x 1,2911 = 81,380,767

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


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