SOLUTION: 1!+2!+3!+....+100! divide by 5?

Question 949378: 1!+2!+3!+....+100! divide by 5?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
is divisible by . In other words,
is an integer.
The same is true about the factorials of every number greater than .
In other words, if is a positive integer and ,
is a positive integer.
So, in the case of ,
we know that all the terms except the first term are positive integers.
What about that first term?

is not an integer.
When you divide by you get
an integer quotient, , and a remainder, .
The same happens when you divide by :
you get an integer quotient, and for a remainder.
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