Pre-Algebra · Superchallenge problem

Some fractions $\dfrac{1}{n}$ have decimals that terminate ($\dfrac14=0.25$), some repeat right from the decimal point ($\dfrac17=0.\overline{142857}$), and some have a few non-repeating digits before the repeating part starts ($\dfrac16=0.1\overline{6}$). For how many whole numbers $n$ from $2$ to $50$ is $\dfrac1n$ of this last kind?