The factorial function without the factorial module in python

long_factorial.py

n = input('Please provide a number n: ')

def factor_ial(number):
    count = 1
    arr = list()
    num = number + 1
    for i in range(int(num)):
        if i == 1:
            count += 1
            #print(i, i * count)
            p = i * count
            arr.append(p)
        elif i > 1:
            count += 1
            #print(i, count)
            p = count * arr[-1]
            arr.append(p)
            #print(p)
    print(arr[-2])
    return arr[-2]
n = int(n)

factor_ial(n)