Find the number of zeros at the end of 15! in base 12.

1) 12
2) 5
3) 6
4) N.O.T

• 5
  
  12=2*2*3=3*2^2
  
  Numbers of zeros at end of 15! in base 12 will be equal to highest power of 12 in 15!.
  powers of 2 in 15! = 15/2+15/4+15/8 ..... 7+3+1=11
  Powers of @^4 in 15!= 11/2....5
  powers of 3 in 15!= 15/3+15/9= 5+1=6
  
  so 5 zeros at the end of 15! in base 12.
• 11 years agoHelpfull: Yes(1) No(0)