# (1!+2!+3!+......100!)/100.= ...... Find the remainder ?

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Sep 21, 2017

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Remainder is

#### Explanation:

We know that

#1! = 1#

#2! = 2#

#3! = 6#

#4! = 24#

#5! = 120#

#6! = 720#

#7! = 5040#

#8! = 40320#

#9! = 362880#

#10! = 3,628,800#

From here on in, the numbers will always end with at least two zeroes, so we know the last two numbers won't change.

The sum of the first

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