Question

A seminar is being conducted by an Educational Organisation, where the participants will be educators of different subjects. The number of participants in Hindi, English and Mathematics are 60, 84 and 108 respectively.
108 can be expressed as a product of its primes as

• A. $2^3\times 3^2$
• B. $2^3\times 3^3$
• C. $2^2\times 3^2$
• D. $2^2\times 3^3$

Answer 1

The correct option is D $2^2\times 3^3$

Option (D)
$$\begin{array}{cc}& \text{Doing Prime Factorisation of}108\\ & 36=2\cdot 2\cdot 3\cdot 3\cdot 3\\ & =2^2\times 3^3\\ & \begin{array}{cc}2& 108\\ 2& 54\\ 3& 27\\ 3& 9\\ 3& 3\\ & 1\end{array}\end{array}$$