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

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) $n < 3.$

Answer: B

Source: GMAT Club Tests

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