Q: What are the prime factors of the number 321,040,027?

 A: 7, 11, 53, 97, 811

Why are those the prime factors of the number 321,040,027?

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 321,040,027

321,040,027
Factor Arrows
745,862,861
Factor Arrows
114,169,351
Factor Arrows
5378,667
Factor Arrows
97811

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:

7, 11, 53, 97, 811

We can check our work by multiplying all of the prime factors together: 7 x 11 x 53 x 97 x 811 = 321,040,027

This can also be written as 71 x 111 x 531 x 971 x 8111 = 321,040,027

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


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