- #1
SYoungblood
- 64
- 1
Homework Statement
Hello all,
I am trying to determine the last hexadecimal digit of a sum of rather large factorials. To start, I have the sum 990! + 991! +...+1000!. I am trying to find the last hex digit of a larger sum than this, but I think all I need is a push in the right direction, because right now I am lost.
Homework Equations
To start, I have the sum 990! + 991! +...+1000!. I am trying to find the last hex digit of a larger sum than this, but I think all I need is a push in the right direction, because right now I am lost. Any info on how to determine the last hex digit of a large factorial, even just 1000!, is greatly appreciated.
The Attempt at a Solution
Where would I even begin? I tried to convert 1000 to hexadecimal form -- 3E8 -- but that didn't seem to help me at all, or at least not as much as I thought it would.
Any and all help is greatly appreciated.
SY