IF "N" is a positive integer, then how many values of N will give an integral value of

(16N²+7N+6)/N

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Solution

Given expression-
$\frac{16 n^{2} + 7 n + 6}{n} = 16 n + 7 + \frac{6}{n}$

Now here this expression will only be integral when $\frac{6}{n}$ would be an integral value, and at the same time $16 n$ should be integral as well.
Therefore the possible values of $n$ would be

$6, 3, 2, 1$ .

Hence, possible value of $n$ are $4$ .

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