Factorization

Factorize the following numbers: $35, 44, 29$ and $63$. Is any of them prime?

$$\begin{eqnarray} 35 & | & 5 \\ 7 & | & 7 \\ 1 & & \end{eqnarray}$$

$$\begin{eqnarray} 44 & | & 2 \\ 22 & | & 2 \\ 11 & | & 11 \\ 1 & & \end{eqnarray}$$

$$\begin{eqnarray} 29 & | & 29 \\ 1 & & \end{eqnarray}$$

$$\begin{eqnarray} 63 & | & 3 \\ 21 & | & 3 \\ 7 & | & 7 \\ 1 & & \end{eqnarray}$$

$$35=5\times7$$

$$44=2^4\times11$$

$$29=29\times1$$

$$63=3^2\times7$$

$29$ is prime.