Q: What are the prime factors of the number 334,330,410?

 A: 2, 3, 5, 11144347

Why are those the prime factors of the number 334,330,410?

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 334,330,410

334,330,410
Factor Arrows
2167,165,205
Factor Arrows
355,721,735
Factor Arrows
511,144,347

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, 5, 11144347

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 11,144,347 = 334,330,410

This can also be written as 21 x 31 x 51 x 11,144,3471 = 334,330,410

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


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