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Question
What is the remainder left after dividing 1! + 2! + 3! + ? +
100! By 7?
 Question Submitted By :: Guest
I also faced this Question!!     Rank Answer Posted By  
 
  Re: What is the remainder left after dividing 1! + 2! + 3! + ? + 100! By 7?
Answer
# 1
A tricky one. 

7! onwards all terms are divisible by 7 as 7 is one of the
factor. So there is no remainder left for those terms i.e.
remainder left after dividing 7! + 8! + 9! + ... + 100! is 0. 

The only part to be consider is 

= 1! + 2! + 3! + 4! + 5! + 6! 

= 1 + 2 + 6 + 24 + 120 + 720 

= 873 

The remainder left after dividing 873 by 7 is 5 

Hence, the remainder is 5.
 
Is This Answer Correct ?    6 Yes 0 No
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