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How many zeroes does 66^2 end in when written in base 12?

 Feb 12, 2022
 #1
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66^2 ==4.356 in base 10 ==3,630 in base 12

 Feb 12, 2022
 #2
avatar+122390 
+1

Here's one way to do this :

 

66^2  =  435610

4356/12  =  363 Remainder 0

363 / 12  =  30 Remainder   3

30/12  =        2 Remainder   6

  2 / 12  =      0  Remainder  2 

 

Read the remainders  from bottom  to top  =     263012  

 

 

cool cool cool

 Feb 12, 2022

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