Let N be any natural number and , where are prime numbers and are natural numbers.
Then number of factors of N is given by
You are given number of factors say k.First step would be to factorize k.That is write k as .
Once you have found out such that , your x would be
Main thing here is that you can multiple possibilities for and you have to optimize for that.
Example:Given k=12,find x.
k=3*2*2 . Corresponding x = =60
k=6*2 . Corresponding x = = 96
k=4*3 . Corresponding x = = 72
So minimum x would be 60.