Q: What are the prime factors of the number 10,911,159?

 A: 3, 7, 57731

Why are those the prime factors of the number 10,911,159?

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 10,911,159

10,911,159
Factor Arrows
33,637,053
Factor Arrows
31,212,351
Factor Arrows
3404,117
Factor Arrows
757,731

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, 7, 57731

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 7 x 57,731 = 10,911,159

This can also be written as 33 x 71 x 57,7311 = 10,911,159

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


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