What is greatest positive integer n such that 2^n is a factor of 12^11?
Choose the correct choice from the following options: A) a)10 B) b)12 C) c)22 D) d)20 E) e)60
The given number is 12^11   =(2*2*3)^11   =(2^22)*(3^11)   So the greatest possible value for n such that 2^n can be factor of given number is 22.   Answer c)22
<result>C</result>
What is greatest positive integer n such that 2^n is a factor of 12^11?