The $HCF$ of the smallest prime number and the smallest composite number is ........

The decimal representation of $\frac{7}{2^3 \cdot 5^4}$ will have how many digits after the decimal point?

Find the $HCF$ and $LCM$ of the following pairs of integers and verify that $HCF \times LCM = \text{product of the two numbers}: 26$ and $91$.

How many decimal places are there in the decimal expansion of $\frac{3}{113}$?

Is the expression $(\sqrt{2} - \sqrt{3})(\sqrt{3} + \sqrt{2})$ an irrational number?

Express the number $5005$ as a product of its prime factors.