Express $5005$ as a product of prime factors.

State whether the following rational number has a terminating decimal expansion or not. If it has,then find it: $\frac{23}{200}$

The decimal expansion of the rational number $\frac{14587}{1250}$ will terminate after

Prove that $21^{n}$ cannot end in zero for any natural number $n \in N$.

State whether the following rational number has a terminating decimal expansion or not. If it has a terminating decimal expansion,find it: $\frac{17}{8}$

$\frac{p}{q}$ is a rational number and for non-negative integers $m$ and $n$,$q = 2^{m} 5^{n}$ if and only if the decimal form of $\frac{p}{q}$ is $\ldots \ldots \ldots \ldots$