What is greatest positive integer n such that 2^n is a factor of 12^13? Select the correct option
A) a)10 B) b)12 C) c)16 D) d)26 E) e)60
The given number is 12^13   =(2*2*3)^13   =(2^26)*(3^13)   So the greatest possible value for n such that 2^n can be factor of given number is 26.   Answer d)26
<result>D</result>
What is greatest positive integer n such that 2^n is a factor of 12^13?