Question

Express $3825$ as a product of its prime factors.

Answer 1

Factorize $3825$ as follows:

$$\begin{gathered} \Rightarrow 3825=3\times 3\times 5\times 5\times 17 \\ \Rightarrow 3825=3^2\times 5^2\times 17 \end{gathered}$$

Since, $3$, $5$ and $17$ are prime number, as it is not divisible by any number except $1$ and itself.

Hence, $3825=3^2\times 5^2\times 17$.