Q: What are the prime factors of the number 343,704?

 A: 2, 3, 14321

Why are those the prime factors of the number 343,704?

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 343,704

343,704
Factor Arrows
2171,852
Factor Arrows
285,926
Factor Arrows
242,963
Factor Arrows
314,321

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, 14321

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 14,321 = 343,704

This can also be written as 23 x 31 x 14,3211 = 343,704

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


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