Q: What are the prime factors of the number 389,745?

 A: 3, 5, 2887

Why are those the prime factors of the number 389,745?

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 389,745

389,745
Factor Arrows
3129,915
Factor Arrows
343,305
Factor Arrows
314,435
Factor Arrows
52,887

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, 2887

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 2,887 = 389,745

This can also be written as 33 x 51 x 2,8871 = 389,745

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


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