What will be the unit digit of 1122^1122!

• 1122! is a multiple of 4 as it contains 00 at the last two digit.
  Now, using 4n rule.
  4n+1 = ..2 (2^1=2)
  4n+2=.. 4 (2^2=4)
  4n+3=.. 8 (2^3=8)
  4n= ... 6(2^4=16)
  AS 1122! is multiple of 4
  Hence unit digit will be 6
• 10 years agoHelpfull: Yes(23) No(9)
• ans is 4
  bcoz 1122^1122 is similar if we take 2^1122
  now 2 has only 4 digits as last digits
  i.e. 2
  4
  8
  6
  then these digits are repeated so divide 1122 by 4 and remainder is 2 therefore
  ans is 4
  
• 10 years agoHelpfull: Yes(16) No(14)
• the last digit is playing around in the way like 2, 4, 8, 6
  so all we fellas gonna doo is jst divide 1122 by 4 and viola!!! the remainder is the last term number which is 4
• 10 years agoHelpfull: Yes(6) No(3)
• 1122! is a multiple of 4 as it contains 00 at the last two digit.
  Now, using 4n rule.
  4n+1 = 2 (2^1=2)
  4n+2= 4
  4n+3= 8
  4n=6
• 10 years agoHelpfull: Yes(1) No(6)
• ans will be 4.....
  
• 10 years agoHelpfull: Yes(0) No(0)
• 4 is the answer
• 10 years agoHelpfull: Yes(0) No(2)
• the unit will be 4..
• 10 years agoHelpfull: Yes(0) No(0)
• cycle of power of 2 ,
  
  Thus the unit digit is 2.
• 10 years agoHelpfull: Yes(0) No(1)
• 1122%4 remainder is 2
  unit place is = 2^2=4
• 10 years agoHelpfull: Yes(0) No(0)
• 1122^1122! can be written as (4^3!)^187!
  when compared to the unit digit 4^3 the the 4 is obtained.
  
  so answer is 4
• 9 years agoHelpfull: Yes(0) No(0)
• There is a property of factorial. Is that all the number greater then 4! Always divisible by 4 and always will be even. So 1122!%4 =0 that means repeation in 2 power is 2,4,8,6 means there is 0 remainder in 1122%4 so when there is no remainder in power of a number then we choose last repeated digit of 2 so 6 is last repeated digit
  
  Hence ans is 6
• 9 years agoHelpfull: Yes(0) No(0)