Q: What are the prime factors of the number 136,788?

 A: 2, 3, 11399

Why are those the prime factors of the number 136,788?

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 136,788

136,788
Factor Arrows
268,394
Factor Arrows
234,197
Factor Arrows
311,399

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:

2, 3, 11399

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 11,399 = 136,788

This can also be written as 22 x 31 x 11,3991 = 136,788

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


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