Find remainder when 1! + 2! + 3! + 4! + 5! +………….+ 100! is divided by 6?

• Remainder will be 0
• 7 years agoHelpfull: Yes(0) No(0)
• Every factorial beyond 3 is a muktiple of 6. So only two terms 1st and 2nd are left.
  Adding these two 1+2=3 is the answer
• 7 years agoHelpfull: Yes(0) No(0)
• (1!)mod6=1
  (2!)mod6=2
  (3!)mod6=0
  till 100
  
  ans=3
• 7 years agoHelpfull: Yes(0) No(0)