Q: What are the prime factors of the number 381,015?

 A: 3, 5, 8467

Why are those the prime factors of the number 381,015?

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 381,015

381,015
Factor Arrows
3127,005
Factor Arrows
342,335
Factor Arrows
58,467

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, 8467

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 8,467 = 381,015

This can also be written as 32 x 51 x 8,4671 = 381,015

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


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