Question: how to factor $x^2$ ?
1. **State the problem:** We want to factor the expression $x^2$.
2. **Recall the factoring rules:**
- Factoring means expressing a polynomial as a product of simpler polynomials.
- $x^2$ is a perfect square term, which can be written as $x \times x$.
3. **Factor $x^2$:**
$$x^2 = x \times x$$
4. **Explanation:**
- Since $x^2$ is the square of $x$, its factors are simply $x$ and $x$.
- There are no other factors unless you consider constants or complex numbers.
5. **Final answer:**
$$x^2 = x \cdot x$$