Q: What are the prime factors of the number 327,039,999?

 A: 3, 11, 13, 17, 44843

Why are those the prime factors of the number 327,039,999?

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 327,039,999

327,039,999
Factor Arrows
3109,013,333
Factor Arrows
119,910,303
Factor Arrows
13762,331
Factor Arrows
1744,843

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, 11, 13, 17, 44843

We can check our work by multiplying all of the prime factors together: 3 x 11 x 13 x 17 x 44,843 = 327,039,999

This can also be written as 31 x 111 x 131 x 171 x 44,8431 = 327,039,999

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


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