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 divisibility by 2:** Divisible by 2 means the number is even. 4. **Counterexample:** Consider $1^2 = 1$, which is a perfect square but not divisible by 2. 5. **Conclusion:** The conjecture is false because not all perfect squares are even. Final answer: The conjecture "All perfect squares are divisible by 2" is false. A counterexample is $1^2 = 1$, which is not divisible by 2.