• # question_answer A number n is divisible by only two primes. Also twice of the number is a perfect square while thrice of the number is a perfect cube. The number of factors of least possible value of n is A)  6                                B)  8            C)  10                  D)  12

$\frac{144}{2}=72$ $72\times 3=216$ No. is 72 ${{2}^{3}}\times {{3}^{2}}$ $\therefore$No. of factor $\Rightarrow \text{ }4\times 3=12$ No. of factor$=12$