Remainder left when 1! + 2! + 3! + 4! +…. + 100! is divided By 7?

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What remainder is left

when,
1! + 2! + 3! + 4!… + 100!  is divided By 7?

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    Best answer

    [1!+2!+3!+4!+5!+6! ] % 7 = 5

    hemanth kumar Scholar Answered on 5th October 2015.

    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.

    on 6th October 2015.
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    5..

    RAMAHK92 Starter Answered on 7th October 2015.

    How?

    on 7th October 2015.
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