A number theory problem by Gouri Panda
Number Theory
Level
pending
What is the remainder when 1!+2!+3!.............+1000! Is devided by 120
The answer is 33.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
120 = 1.2.3.4.5 = 5! 1!+2!+3!.......+1000! = 1!+2!+3!+4! + 5!(1+6+6.7+6.7.8+.......) = 120k+33 where k is an integer.