Q: What are the prime factors of the number 336,104,235?

 A: 3, 5, 276629

Why are those the prime factors of the number 336,104,235?

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 336,104,235

336,104,235
Factor Arrows
3112,034,745
Factor Arrows
337,344,915
Factor Arrows
312,448,305
Factor Arrows
34,149,435
Factor Arrows
31,383,145
Factor Arrows
5276,629

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, 5, 276629

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 5 x 276,629 = 336,104,235

This can also be written as 35 x 51 x 276,6291 = 336,104,235

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


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