<s>[INST] The number 432 has several factors. Oh no! The factors have conspired against you to get you. The factors are: $2^4 \cdot 3^1 = 16 \cdot 3$, $2^3 \cdot 3^2 = 8 \cdot 9$, and $2^2 \cdot 3^3 = 4 \cdot 27$. What is the product of these factors?[/INST]