Grade 9Algebra
What is the remainder when 1!+2!+3!...100! is divided by 24?
What is the remainder when 1!+2!+3!...100! is divided by 24?
1 Answer
pawan gangwani
this can be written as – 1 + 2 + 6 + 24*(1+5+6*5+......) { just taken the factor of 24 from every number after 4! – this means that all the numbers in the series after 4! are divisible by 24}
therefor the remainder is – 1 + 2 + 6 = 9.
therefor the remainder is – 1 + 2 + 6 = 9.
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