Grade 9Algebra
Find the remainder when 1! + 2! + 3! + 4! + 5! +.......+ 100! is divided by 24.
Find the remainder when 1! + 2! + 3! + 4! + 5! +.......+ 100! is divided by 24.
1 Answer
Riddhish Bhalodia
Approved Tutor Answer10 Years ago4! = 24
and hence for all the terms after 3! will be divisible by 4! and hence by 24
so we just need to check for the forst three terms = 1! + 2! + 3! = 9
and reminder of 9/24 is = 9
and hence for all the terms after 3! will be divisible by 4! and hence by 24
so we just need to check for the forst three terms = 1! + 2! + 3! = 9
and reminder of 9/24 is = 9
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