This is an integer if and only if 484 is divisible by n+23. The factors of 484 are ±1, ±2, ±4, ±11, ±22, ±44, ±121, ±242, ±484 so there are 18 solutions altogether. The positive ones are given by n + 23 = 44, 121, 242, 484.

anonimnystefy

2013-11-16 12:49:00

For that to be an integer, 484 must be divisible by (n+23).

The positive solutions are 21, 98, 219, 461.

cooljackiec

2013-11-16 12:04:30

There are exactly four positive integers such that