What is greatest positive integer n such that 2^n is a factor of 12^12?

What is greatest positive integer n such that 2^n is a factor of 12^12?

Quiz

Answer/Solution

d)24

Steps/Work

The given number is 12^12
=(2*2*3)^12
=(2^24)*(3^12)
So the greatest possible value for n such that 2^n can be factor of given number is 24.
Answer D