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\begin{document}


\begin{enumerate}
\item For any two positive integers $n$ and $m,$ we have proved the
following. \ If $a$ is the smallest positive element of 
\begin{equation*}
A=\left\{ \alpha n+\beta m:\text{ \ where \ }\alpha \text{ \ \ and \ }\beta 
\text{ \ are integers}\right\} 
\end{equation*}%
, then $a$ is a divisor of every element in $A$. \ Now prove that $a$ is the
greatest common factor of $n$ and $m$.

\item Let $n$ be a natural number such that $\dfrac{1}{n}$ is a terminating
decimal. What can we state about $n$?

\item Compute the number of factors of a number, given its
prime-factorization.
\end{enumerate}

\end{document}