Q: What are the prime factors of the number 257,589?

 A: 3, 28621

Why are those the prime factors of the number 257,589?

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 257,589

257,589
Factor Arrows
385,863
Factor Arrows
328,621

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, 28621

We can check our work by multiplying all of the prime factors together: 3 x 3 x 28,621 = 257,589

This can also be written as 32 x 28,6211 = 257,589

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


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