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1 Find the last three digits of the following: $$1!+3!+5!+7!+ldots+2013!+2015!+2016!$$ I have tried to divide by $1000$ up to $15!$, but the number is too high and confused. So I wanna know if there is other way to solve this problem. Thanks in advance! real-analysis modular-arithmetic contest-math factorial share | cite | improve this question edited Apr 20 '17 at 4:39 Ángel Mario Gallegos 18.5k 1 12 30 asked Apr 20 '17 at 4:26 November ft Blue 103 6