Q: What are the prime factors of the number 387,030?

 A: 2, 3, 5, 7, 19, 97

Why are those the prime factors of the number 387,030?

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 387,030

387,030
Factor Arrows
2193,515
Factor Arrows
364,505
Factor Arrows
512,901
Factor Arrows
71,843
Factor Arrows
1997

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, 7, 19, 97

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 7 x 19 x 97 = 387,030

This can also be written as 21 x 31 x 51 x 71 x 191 x 971 = 387,030

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


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