unit digit of 124^123!

• ans:6
  as 123! is in form of 4n
  
• 11 years agoHelpfull: Yes(37) No(10)
• 4^even power=6
• 11 years agoHelpfull: Yes(14) No(4)
• ans is 4.
  sol-
  124^(123!)= 124^123+124^122+124^121+......124^1
  =sum of unit digit of all terms
  = 4+6+4+6+4+6+.......+4
  = 10*61+4
  = 614
  hence ans is 4.
• 11 years agoHelpfull: Yes(13) No(28)
• unit digit is 4
• 11 years agoHelpfull: Yes(10) No(14)
• unit place 6
  
• 11 years agoHelpfull: Yes(9) No(3)
• i think its 4.. 123! last 2 digits are 00 that's why divisible by 4 .. so no reminder left .. so its 4
• 11 years agoHelpfull: Yes(4) No(12)
• unit digit is 4
  
  Explanation:
  For this type of problem, remember the following steps :
  
  1> look at the unit digit of 124 = 4
  2> 4^1=4 ,4^2=16,4^3=64,4^4=256.....so on.. Here,we can see that we get the sequence of 4,6,4,6,....as the unit digit repeatedly after 2 times .
  3> Now,divide 123%2=1(get the remainder as 1)
  4> 4^1=4
  
• 11 years agoHelpfull: Yes(4) No(3)
• u donno a SHIT.TO THOSE GUYS WHO IS SAYNG 4...FIRST GET UR FACTS STRAIGHT.ITS 6...OPEN CALCULATOR and do the miracle.idiot
  
• 11 years agoHelpfull: Yes(4) No(0)
• 123! contains many 0' at the end...so 123! is a even number..so,,if we think
  124 ^ even..then unit digit is 6 because 4's cycle is like 4,6,4,6,4,6.
• 11 years agoHelpfull: Yes(4) No(0)
• 4 TO THE POWER EVEN WILL BE ALWAYS 6 !!!
• 11 years agoHelpfull: Yes(3) No(2)
• It is not soo complex as many of them explained. Remember factorial of all the numbers except 1 is always even. and four raised to ever number always ends with 6. so ans is 6.
• 9 years agoHelpfull: Yes(1) No(0)
• I have a simplest way
  
  we have 123!
  Now take last two Digit of the Number is 23!
  now divide it by 4...
  23!/4= Remainder 3 right
  then find 3!
  we know the 3! is 6 so Ans is 6.
  
• 9 years agoHelpfull: Yes(1) No(0)
• 2
  as123=4n+3
  for ! unitdigit*7,,,
  here6*7
  so unit digit =2
• 9 years agoHelpfull: Yes(0) No(3)
• Ans is 6
  because we just need to calculate 4^123!
  and 123! trailing more than two zeroes...
  then just dividing last two zeroes by 4, the rem=0 i.e the last digit of the cycle i.e 4..
  so 4^4 is 256...
  so the last digit is 6..
• 9 years agoHelpfull: Yes(0) No(0)
• 4^3=64
  unit digit 4
• 9 years agoHelpfull: Yes(0) No(1)
• 4^even power=6 and 4^odd power=4.
• 9 years agoHelpfull: Yes(0) No(0)
• 123/4=30+3 so for odd places unit digit is 4
  ANS =4
• 9 years agoHelpfull: Yes(0) No(0)
• (124)^123!=(31*4)^123!
  31*4=124
  hence Unit place is 4
• 9 years agoHelpfull: Yes(0) No(0)