RRemainderrr part 2
Number Theory
Level
2
Find the remainder when ( 1!+2!+3!............................+100!) is divided by 5.
The answer is 3.
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The values 5!,6!,7!..........100! all have 5 as a factor so, remainder must be 1!+2!+3!+4! / 5 which is 33/5 which is 3 .