Introduction to Factorial in Python
For a positive integer, Python in factorial means a product of all the integers which are listed less than and equal to the specified integer. The factorial value of a explicit number is typically represented as n!. the formula behind the product of these integers can be represented using the below formula,
n! = n * (n-1) * (n-2) * (n-3) * (n-4) * (n-5) * (n-6) * (n-7) * . . . . . . .* 1
Ex: 20! = 20 * 19 * 18 * 17 * 16 * 15 * 14 * 13 * 12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 2432902008176640000
| n | n! |
| 0 | 1 |
| 1 | 1 |
| 2 | 2 |
| 3 | 6 |
| 4 | 24 |
| 5 | 120 |
| 6 | 720 |
| 7 | 5 040 |
| 8 | 40 320 |
| 9 | 362 880 |
| 10 | 3 628 800 |
| 11 | 39 916 800 |
| 12 | 479 001 600 |
| 13 | 6 227 020 800 |
| 14 | 87 178 291 200 |
| 15 | 1.30767E+12 |
| 16 | 2.09228E+13 |
| 17 | 3.55687E+14 |
| 18 | 6.40237E+15 |
| 19 | 1.21645E+17 |
| 20 | 2.4329E+18 |
Techniques of Factorial in Python
Technique #1 – Factorial Program
Code:
# Python program to determine the value of factorial for a given number
# modifying the value keyed in will produce a different result
Number = int(input(" Enter the number for which factorial value to be determined : "))
factorial = 1
# to verify that the given number is greater than zero incase it is less than zero then the
# message stated below will be printed
if Number < 0:
print(" ! ! ! ! ! Factorial value cannot be intended for negative integers ! ! ! ! ! ")
# The default factorial value for zero is one and this is printed here
elif Number == 0:
print(" ! ! ! ! 1 is the factorial value 0 ! ! ! ! ")
else:
# For loop to handle the factorial calculation
for i in range(1,Number + 1):
factorial = factorial*i
print("The factorial value for the " , Number , "is" , factorial)
Output:
Explanation: The program calculates the factorial of a number using looping technique, here the specific integer value for which the factorial value has to be calculated is keyed in into the ‘Number’ variable. Alongside the variable ‘Factorial’ is initialized with value 1. The first check carried out is to settle on whether the key value is a positive integer. this is because the factorial value for a negative integer cannot be calculated. so the check is implied such that the keyed in value is greater than zero. also if the value keyed is equal to zero then the factorial value for zero which is one is printed. In the next instance, the factorial for a given value is determined by the below formula being executed in a loop with the iterator value getting incremented by one.
factorial = factorial*i
The range of this loop is maintained between 1 and one value greater than the number being the keyed in. At the end of the last execution, the value of the factorial is printed.
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Technique #2 – Factorial Program
Code:
# Python program to determine the value of factorial for a given Number
# modifying the value keyed in will produce a different result
# Function through which factorial is achieved
def factorial(Number):
"""Factorial of a number is calculated through the below mentioned recursive function"""
if Number == 1:
return Number
else:
return Number * factorial(Number - 1)
# Number for which the factorial has to be determined
Number = int(input(" Enter the Number for which factorial value to be determined : "))
# to verify that the given Number is greater than zero in case it is less than zero then the
# message stated below will be printed
# An error message will be returned if the keyed in input is negative.
# elif an error message will be returned if the keyed in input is zero.
# else user defined function is used for calculating the factorial
if Number < 0:
print( " ! ! ! ! ! Factorial value cannot be intended for negative integers ! ! ! ! !" )
elif Number == 0:
print( " ! ! ! ! 1 is the factorial value 0 ! ! ! ! " )
else:
print("Factorial value for the ", Number , " is: " , factorial(Number))
Output:
Explanation: The program calculates the factorial of a number using a recursive function calling technique, here the value for which the factorial needs to be determined is keyed into the ‘Number’ variable. Value 1 is initialized to the factorial variable. The first check carried out is to settle on whether the keyed value is a positive integer. this is because the factorial value for a negative integer cannot be calculated. so the check is implied such that the keyed in value is greater than zero. also if the value keyed is equal to zero then the factorial value for zero which is one is printed. In the next instance, the factorial for a given value is determined by the below formula being recursively executed,
Number * factorial(Number - 1)
recursive execution by process means a technique through which looping of a given coding instance is achieved manually. this technique involves calling a given function within the same function and this call is encapsulated inside a given if condition. So this encapsulation allows the function to be called until the given condition being satisfied.
Conclusion
These programs are implied to check whether the given palindrome of a given integer value. Using the above programs any given numeric value can be successfully evaluated for its factorial value. the programs are implied using two widely difference techniques such as recursive function call and usual looping process. from a standard perspective, both these techniques don’t largely differ and they are very much accepted methods of programming.
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