Remainder left when 1! + 2! + 3! + 4! +…. + 100! is divided By 7?
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[1!+2!+3!+4!+5!+6! ] % 7 = 5
All facorial greater than 6 have 7 as a factor
7!
8! = 8 *7!
9! = 9 * 8 * 7!
.
.
so on
Hence,
We need to find remainder left when 1!+2!+3!+4!+5!+6! is divisible by 7.
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