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If 1!+2!+3!+.........+100! is divided by 8,find the remainder.

If 1!+2!+3!+.........+100! is divided by 8,find the remainder.

Grade:upto college level

1 Answers

Radhika Batra
247 Points
7 years ago

remainder is 1

as all the factorials greater than 3! are divisible by 8 as all of them has a factor of 4 and 2
so 1! + 2! + 3! = 1 + 2 + 6 = 9

when divided by 8 gives remainder 1

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