Q: What are the prime factors of the number 865,017?

 A: 3, 223, 431

Why are those the prime factors of the number 865,017?

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 865,017

865,017
Factor Arrows
3288,339
Factor Arrows
396,113
Factor Arrows
223431

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, 223, 431

We can check our work by multiplying all of the prime factors together: 3 x 3 x 223 x 431 = 865,017

This can also be written as 32 x 2231 x 4311 = 865,017

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


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