cmi-entrance 2014 QA6

cmi-entrance · India · ugmath 4 marks Number Theory Divisibility and Divisor Analysis
What is the smallest positive integer $n$ for which $\frac { 50 ! } { 24 ^ { n } }$ is not an integer?
What is the smallest positive integer $n$ for which $\frac { 50 ! } { 24 ^ { n } }$ is not an integer?