Want to print each iteration of factorial program

[jefsummers]

In the spirit of this being homework, here is code that almost works. Stores in intermediate variable (output) a list of prior values.
The bug for you to fix is that it does not make the final calculation.

def _factorial_sample_(n,output):
    if n == 0 or n == 1:
        output.append(1)
        return n,output
    else:
        x, output = _factorial_sample_(n-1,output)
        new_val = x * output[-1]
        output.append(new_val)
        print(output)
        return n,output
 
 
print(_factorial_sample_(6,[]))

Output:
[1, 1]
[1, 1, 2]
[1, 1, 2, 6]
[1, 1, 2, 6, 24]
[1, 1, 2, 6, 24, 120]
(6, [1, 1, 2, 6, 24, 120])