1. **Problem:** Determine if the conjecture "All perfect squares are divisible by 2" is true or false. 2. **Explanation:** A perfect square is a number that can be expressed as $n^2$ where $n$ is an integer. 3. **Check the conjecture:** - Consider $1^2 = 1$, which is a perfect square. - Is 1 divisible by 2? No, because $\frac{1}{2}$ is not an integer. 4. **Conclusion:** The conjecture is false because 1 is a perfect square but not divisible by 2. 5. **Counterexample:** $1$ is a perfect square but not divisible by 2. Final answer: The conjecture "All perfect squares are divisible by 2" is false.