1. The problem is to factor the expression $x^2$. 2. Factoring means expressing the expression as a product of simpler expressions. 3. Since $x^2$ means $x \times x$, it is already a product of two factors. 4. Therefore, the factored form of $x^2$ is simply $x \cdot x$. 5. There are no other factors or simplifications possible unless considering complex or additional terms. **Final answer:** $$x^2 = x \cdot x$$