1. The problem is to factor the expression $x^2$. 2. Notice that $x^2$ is a perfect square since it is $x$ multiplied by itself. 3. We can express $x^2$ as $x \times x$. 4. Therefore, the factorization of $x^2$ is simply $x \cdot x$. Final answer: $$x^2 = x \cdot x$$