what will be the remainder when a four digit prime no. is divided by 12.

• 4 digit prime numbers are of form 12q + r
  where q - quotient, r - remainder
  
  possible r = ( 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 )
  
  12q + 2 divisible by 2
  12q + 3 divisible by 3
  similarly q = 4 , 6 , 8 , 9 , 10 yields composite numbers .
  
  therefore possible remainders = 1 , 5 , 7 , 11
• 11 years agoHelpfull: Yes(48) No(2)
• remainder will be 1
• 11 years agoHelpfull: Yes(3) No(2)
• Possible remainders = 1 , 5 , 7 , 11
• 11 years agoHelpfull: Yes(2) No(3)
• the ans is 5 do it for any prime no of four digit
• 11 years agoHelpfull: Yes(2) No(0)
• how VINAY ?? can u explain ?
• 11 years agoHelpfull: Yes(0) No(3)
• indeed 5 will be the ans..take any 4 digit number from this source- https://primes.utm.edu/lists/small/10000.txt and try dividing it by 12..and the remainder in each case will be the same...correct me if iam wrong!
• 9 years agoHelpfull: Yes(0) No(0)