So the first solution is the correct one, but the second one is giving me the same answer as the first one in every case I have tried. It felt to me like the second solution should work intuitively but it also seems wrong. Can someone explain why it is wrong?

def factorial(n):
  if n in [0, 1]:
    return 1
  else:
    return n * factorial(n-1)

print(factorial(4))

def factorial2(n):
  while n >= 0:
    return n * factorial(n-1)

print(factorial2(4))