The prime factorization of 144 is as follows:
$$
\begin{aligned}
&144=2 \times 2 \times 2 \times 2 \times 3 \times 3 \\
&\Rightarrow 144=2^{4} \times 3^{2}
\end{aligned}
$$
We know that the exponent of a number \(a^{m}\) is \(m\).
The exponent of 2 in the prime factorization of 144 is \(4 .\)
