Q: What are the prime factors of the number 331,317,855?

 A: 3, 5, 11, 669329

Why are those the prime factors of the number 331,317,855?

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 331,317,855

331,317,855
Factor Arrows
3110,439,285
Factor Arrows
336,813,095
Factor Arrows
57,362,619
Factor Arrows
11669,329

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, 11, 669329

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 11 x 669,329 = 331,317,855

This can also be written as 32 x 51 x 111 x 669,3291 = 331,317,855

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


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