Q: What are the prime factors of the number 259,215?

 A: 3, 5, 11, 1571

Why are those the prime factors of the number 259,215?

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 259,215

259,215
Factor Arrows
386,405
Factor Arrows
517,281
Factor Arrows
111,571

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, 11, 1571

We can check our work by multiplying all of the prime factors together: 3 x 5 x 11 x 1,571 = 259,215

This can also be written as 31 x 51 x 111 x 1,5711 = 259,215

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


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