Question

Find the prime factorisation of $735$.

Answer 1

Solve by prime factorisation:

Given number is $735$

$$\begin{gathered} \begin{array}{cc}5& 735\\ 3& 147\\ 7& 49\\ 7& 7\\ & 1\end{array} \\ \Rightarrow 735=5\times 3\times 7\times 7 \end{gathered}$$

Therefore, the prime factorisation of $735$ is $5\times 3\times 7\times 7$.