Q: What are the prime factors of the number 136,785,857?

 A: 13, 31, 10949

Why are those the prime factors of the number 136,785,857?

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 136,785,857

136,785,857
Factor Arrows
1310,521,989
Factor Arrows
31339,419
Factor Arrows
3110,949

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, 31, 10949

We can check our work by multiplying all of the prime factors together: 13 x 31 x 31 x 10,949 = 136,785,857

This can also be written as 131 x 312 x 10,9491 = 136,785,857

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


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