Factorize the following numbers: $$35, 44, 29$$ and $$63$$. Is any of them prime?
See development and solution
Development:
$$\begin{eqnarray} 35 & | & 5 \\ 7 & | & 7 \\ 1 & & \end{eqnarray}$$
$$\begin{eqnarray} 44 & | & 2 \\ 22 & | & 2 \\ 11 & | & 11 \\ 1 & & \end{eqnarray}$$
$$\begin{eqnarray} 29 & | & 29 \\ 1 & & \end{eqnarray}$$
$$\begin{eqnarray} 63 & | & 3 \\ 21 & | & 3 \\ 7 & | & 7 \\ 1 & & \end{eqnarray}$$
Solution:
$$35=5\times7$$
$$44=2^4\times11$$
$$29=29\times1$$
$$63=3^2\times7$$
$$29$$ is prime.