Q: What are the prime factors of the number 30,330?

 A: 2, 3, 5, 337

Why are those the prime factors of the number 30,330?

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 30,330

30,330
Factor Arrows
215,165
Factor Arrows
35,055
Factor Arrows
31,685
Factor Arrows
5337

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, 5, 337

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 337 = 30,330

This can also be written as 21 x 32 x 51 x 3371 = 30,330

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


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