1. **State the problem:** Calculate the product of 32 and 2. 2. **Formula used:** Multiplication of two numbers $a$ and $b$ is given by $a \times b$. 3. **Apply the formula:** Here, $a=32$ and $b=2$, so we calculate $32 \times 2$. 4. **Intermediate work:** $32 \times 2 = 64$. 5. **Final answer:** The product of 32 and 2 is $64$.