Q: What are the prime factors of the number 136,323?

 A: 3, 11, 17

Why are those the prime factors of the number 136,323?

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 136,323

136,323
Factor Arrows
345,441
Factor Arrows
315,147
Factor Arrows
35,049
Factor Arrows
31,683
Factor Arrows
3561
Factor Arrows
3187
Factor Arrows
1117

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, 11, 17

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 11 x 17 = 136,323

This can also be written as 36 x 111 x 171 = 136,323

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


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