+0  
 
0
129
1
avatar

Find the largest integer n for which 12^n evenly divides 20.

 Mar 29, 2021
 #1
avatar+22096 
+1

12n  has factors of 2 and 3.

20  has factors of 2 and 5

 

Therefore,  12n  will not evenly divide 20 if n is positive.

 

However, it will eveny divide if n is negative or zero, making zero the largest integer that works.

 Mar 29, 2021

9 Online Users

avatar
avatar