1. **State the problem:** Find the mode of the numbers $1, 2, 4, 6, 4$. 2. **Definition:** The mode is the number that appears most frequently in a data set. 3. **Count the frequency of each number:** - $1$ appears once. - $2$ appears once. - $4$ appears twice. - $6$ appears once. 4. **Identify the mode:** Since $4$ appears twice, which is more than any other number, the mode is $4$. **Final answer:** The mode of the numbers is $4$.