Q: What are the prime factors of the number 330,312?

 A: 2, 3, 13763

Why are those the prime factors of the number 330,312?

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 330,312

330,312
Factor Arrows
2165,156
Factor Arrows
282,578
Factor Arrows
241,289
Factor Arrows
313,763

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, 13763

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 13,763 = 330,312

This can also be written as 23 x 31 x 13,7631 = 330,312

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


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