Question

What is the power of 3 in the prime factorisation of 234?

(A) 3

(B) 4

(C) 2

(D) 1

Answer 1

Correct option is (C) 2

\(\begin{array}{c|c} 2 & 234 \\ \hline 3 & 117\\\hline 3& 39\\\hline 13&13\\\hline&1 \end{array}\)

\(\therefore 234 = 2 \times 3^2 \times 13\)

Hence, power of 3 in prime factorisation of 234 is 2.