Q: What are the prime factors of the number 259,551?

 A: 3, 9613

Why are those the prime factors of the number 259,551?

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 259,551

259,551
Factor Arrows
386,517
Factor Arrows
328,839
Factor Arrows
39,613

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, 9613

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 9,613 = 259,551

This can also be written as 33 x 9,6131 = 259,551

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


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