8th Class
Mathematics
Factorisation
Question Bank
Factors & Multiples
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
Correct Answer:
D
Solution :
\[\frac{144}{2}=72\] \[72\times 3=216\] No. is 72 \[{{2}^{3}}\times {{3}^{2}}\] \[\therefore \]No. of factor \[\Rightarrow \text{ }4\times 3=12\] No. of factor\[=12\]