If \(n\) is a positive integer, and

[Gmat_mission]

If \(n\) is a positive integer, and \(\sqrt{45\cdot 14\cdot 7^n−15\cdot 7^{n−1}\cdot 54}\) is a positive integer, what is the value of \(n?\)

(1) \(n\) is a factor of a prime number.
(2) \(n < 3\)

[spoiler]OA=B[/spoiler]

Source: GMAT Club Tests