Q: What are the prime factors of the number 344,196?

 A: 2, 3, 3187

Why are those the prime factors of the number 344,196?

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 344,196

344,196
Factor Arrows
2172,098
Factor Arrows
286,049
Factor Arrows
328,683
Factor Arrows
39,561
Factor Arrows
33,187

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, 3187

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3,187 = 344,196

This can also be written as 22 x 33 x 3,1871 = 344,196

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


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