+0  
 
0
77
1
avatar

Find the largest integer n for which 12^n  evenly divides 50!.

 Dec 15, 2020
 #1
avatar
0

n = [50/3  +  50/3^2  +  50/3^3] =22 (Because 3 is a factor of 12)

 

Then, the largest integer n = 22

 

50! mod 12^22 ==0

 Dec 15, 2020

8 Online Users

avatar