Question

Consider the number $N=10!$ . If the number of positive divisors of $N$ is $\lambda ,$ then $\frac{\lambda }{30}$ equals

Answer 1

Answer: 9

$10!=2^8\cdot 3^4\cdot 5^2\cdot 7$
Number of divisors $=9\times 5\times 3\times 2=270=\lambda$