Q: What are the prime factors of the number 136,881?

 A: 3, 67, 227

Why are those the prime factors of the number 136,881?

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 136,881

136,881
Factor Arrows
345,627
Factor Arrows
315,209
Factor Arrows
67227

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, 67, 227

We can check our work by multiplying all of the prime factors together: 3 x 3 x 67 x 227 = 136,881

This can also be written as 32 x 671 x 2271 = 136,881

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


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