Question

If $7$ represents the area of a rectangle, then in how many different ways this rectangle can be drawn so that measures of its sides are natural numbers?

Answer 1

Different ways of measuring rectangle whose area is $7$ and sides natural number are all possible factors of $7$.

Different possible factor of $7$ is

$7=1\times 7$

As we can see $7$ can be multiple of $1$ and $7$ only because it is a prime number.

Hence, only $1$ way this rectangle can be drawn so that measures of its sides are natural numbers.