In the Wolfram Cloud (Wolfram Programming Lab Beta), this works:
TableForm[Table[{n,n!, 2^n,Mod[n!,2^n]},{n,1,50}]]
and gives a nice tabular output. However in wolframalpha.com, I get an error.
Why is that?
Wolfram|Alpha is meant for natural language, not code.
Please see the Wolfram|Alpha example page for examples of how it is meant to be used:
https://www.wolframalpha.com/examples/