Find the remainder of 1421 x 1423 x 1425 when divided by 12

• Short-Cut... Just Just Use Unit Digits..
  (1*3*5)/12 = 15/12 .. Remainder = 3...
• 10 years agoHelpfull: Yes(34) No(3)
• 1421 x 1423 x 1425 / 12
  
  = (12*118+5)*(12*118+7)*(12*118+9)/ 12
  
  => rem[(5*7*9)/12]
  => rem[(35*9)/12]
  => rem[(36-1)*9/12]
  => rem[(-9)/12]
  => rem = 3
• 10 years agoHelpfull: Yes(9) No(1)
• remainder of 1421/12=5
  remainder of 1423/12=7
  remainder of 1425/12=9
  remainder of (1421*1423*1425)/12=remainder of (5*7*9)/12=remainder of (5*63)/12=remainder of(5*3)/12=3
  
  
  
  
  
  
• 10 years agoHelpfull: Yes(7) No(0)
• 1*3*5=15/12=3 remainder
• 10 years agoHelpfull: Yes(1) No(0)
• all term divided by 12 we get 5*7*9/12=3
• 10 years agoHelpfull: Yes(0) No(0)
• mul last digit
  5*3*1=15%12=3
• 10 years agoHelpfull: Yes(0) No(0)
• (1420+1)(1420+3)(1420+5)
  1420%7=4rem
  (4+1)(7)(9)%7=3 rem
• 10 years agoHelpfull: Yes(0) No(2)