Q: What are the prime factors of the number 336,305,260?

 A: 2, 5, 16815263

Why are those the prime factors of the number 336,305,260?

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 336,305,260

336,305,260
Factor Arrows
2168,152,630
Factor Arrows
284,076,315
Factor Arrows
516,815,263

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, 5, 16815263

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 16,815,263 = 336,305,260

This can also be written as 22 x 51 x 16,815,2631 = 336,305,260

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


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