Q: What are the prime factors of the number 344,926?

 A: 2, 19, 29, 313

Why are those the prime factors of the number 344,926?

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 344,926

344,926
Factor Arrows
2172,463
Factor Arrows
199,077
Factor Arrows
29313

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, 19, 29, 313

We can check our work by multiplying all of the prime factors together: 2 x 19 x 29 x 313 = 344,926

This can also be written as 21 x 191 x 291 x 3131 = 344,926

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


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