Q: What are the prime factors of the number 912,915?

 A: 3, 5, 20287

Why are those the prime factors of the number 912,915?

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 912,915

912,915
Factor Arrows
3304,305
Factor Arrows
3101,435
Factor Arrows
520,287

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, 20287

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 20,287 = 912,915

This can also be written as 32 x 51 x 20,2871 = 912,915

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


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