what is the remainder when 46! is divide by 47?

• Ans:46
  P=47
  (p-1)!/p = p-1
  (47-1)!/47=47-1=46
  
• 9 years agoHelpfull: Yes(24) No(2)
• (n-1)!/(n) always gives n as the remainder when n is a prime number.
  so from the above question it is clear that n which is 47 is a prime number, therefore remainder will be 46.
  
  example - 4!/5 remainder will be 4...
  u can check it through normal procedure.
• 9 years agoHelpfull: Yes(17) No(6)
• from remainder theorem = (p-1)!/p = p-1
  so (47-1)!/47 = 47-1 = 46 is remainder.
• 9 years agoHelpfull: Yes(4) No(2)
• n!%(n+1) gives always remainder always n when n (n+1) is a prime number
  so ans is 6
  
• 9 years agoHelpfull: Yes(1) No(1)
• the remainder of (n)!/n+1 is always n and you can check it by doing it
• 9 years agoHelpfull: Yes(1) No(1)
• by using formula a!/a+1=a,
  46!/46+1=46
  ans:46
• 9 years agoHelpfull: Yes(0) No(0)