Q: What are the prime factors of the number 333,227,844?

 A: 2, 3, 131, 2617

Why are those the prime factors of the number 333,227,844?

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 333,227,844

333,227,844
Factor Arrows
2166,613,922
Factor Arrows
283,306,961
Factor Arrows
327,768,987
Factor Arrows
39,256,329
Factor Arrows
33,085,443
Factor Arrows
31,028,481
Factor Arrows
3342,827
Factor Arrows
1312,617

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, 131, 2617

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 3 x 131 x 2,617 = 333,227,844

This can also be written as 22 x 35 x 1311 x 2,6171 = 333,227,844

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


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