Hi,
I am quite familiar with Factor even in the correct syntax, i.e. starting with a capital F and using square brackets. Factor expects a polynomial as input, I hope that you are familiar with that. So Factor is quite boring when you apply it to integers, which makes me believe that you are not familiar with the function "Factor" in the WolframLanguage. It is relatively straight forward to apply it to standard polynomials in WolframAlpha using for example:
Table[Factor[1 + 2 x - k x^2],{k,1,10}]
as input. This can also be done with arrays:
Table[Factor[1 + j x - k x^2],{k,1,10},{j,1,3}]
In this case the result is an array, i.e. a list of lists.
The thing is that it is quite important what "omega" is supposed to be, because of the way that a CAS simplifies/processes the input. A very simple input is this:
Table[Omega[j,k],{k,1,10},{j,1,3}]
You see from my second reply that WolframAlpha interprets your input "omega" as PrimeNu, which does not appear to be what you want; if you are not familiar with PrimeNu you can look it up here. In case you are more familiar with Sin here is how that works:
Table[N[Sin[i+j]],{i,1,3},{j,1,3}]
If WolframAlpha misinterprets your input, you might want to use the WolframCloud which uses proper Wolfram Language Syntax and often helps to formulate your expression in a more concise way. In that case I would suggest learning the basics about the Wolfram Language first. There are fantastic resources for that like this one.
Cheers,
Marco