The number \(7\) has only two positive factors, \(1\) and itself. A positive integer greater than \(1\) whose only positive factors are \(1\) and itself is said to be *prime*.

A *perfect square* is an integer created by multiplying an integer by itself. The number \(25\) is a perfect square since it is \(5 \times 5\) or \(5^2\).

Determine the smallest perfect square that has three different prime numbers as factors.

Extension: Determine all perfect squares less than \(10\,000\) that have three different prime numbers as factors.