SOLUTION: there are some positive integers n such that n^3 -7 is divisible by n-3 . how many such positive integers are there ? a 4 b 6 c 8 d 12 e infinitely many

Algebra ->  Divisibility and Prime Numbers -> SOLUTION: there are some positive integers n such that n^3 -7 is divisible by n-3 . how many such positive integers are there ? a 4 b 6 c 8 d 12 e infinitely many      Log On


   

Question 252526: there are some positive integers n such that n^3 -7 is divisible by n-3 . how many such positive integers are there ?
a 4 b 6 c 8 d 12 e infinitely many
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
It turns out there are 12; [D].
One option is to test a bunch of different numbers.
N = {-17, -7, -2, -1, 1, 2, 4, 5, 7, 8, 13, 23}