What is the remainder when 50! is divided by 16 ^ 15 (1615)

• remainder=0
  16^15=2^60 and 1615=5*19*17
  in 50! both 2^60 and 5*19*17 are present.
  so number is fully divided by given number.
• 11 years agoHelpfull: Yes(23) No(5)
• @SAURABH expln how 2^60 is present in 50! at max it would be 2^47
  
• 11 years agoHelpfull: Yes(6) No(0)
• remainder will be 0.
  as all terms after 50! contains 15, 16s
  factor of 1615=5*17*19 and all are there in 50!
  so perfectly divisible
• 11 years agoHelpfull: Yes(2) No(2)
• Ans:)-1
  for 16^15=(2^4)^15=2^60
  and in 50! we know that after 2! all are divisible by 2 like (3! 4! 5!)
  only 1! is not divisble by 2
  so here remainder =1
• 11 years agoHelpfull: Yes(1) No(14)
• @SAURABH ji please explain how 2^60 comes ????
• 11 years agoHelpfull: Yes(1) No(0)
• remainder=0
  16^15=2^60=(2^10)^6
  when power of 2^10 is even then last digit =6
  50! is fully divided by 6.
  so remainder=0
• 11 years agoHelpfull: Yes(1) No(0)
• remainder is 1
  
• 11 years agoHelpfull: Yes(0) No(1)
• 16=2^4
  so (2^4)^15=2^60
  1615=5*19*17
  so all r there in 50!
  ans is 0
• 11 years agoHelpfull: Yes(0) No(0)