Python किसी संख्या का फैक्टोरियल ज्ञात करने का प्रोग्राम

The sections below show four ways to compute a factorial in Python — a for loop, an if-else version, recursion, and math.factorial() — plus the underlying algorithm and applications.

फॉर लूप का उपयोग करके किसी संख्या का फैक्टोरियल

Let us take up the example of Python code that takes a positive integer as input to determine the factorial of positive integers. In the following code, the loop begins with one, and then it multiplies by each number that precedes the actual number whose factorial is to be determined.

निम्नलिखित Python code illustrates the factorial function using a loop.

Python कोड:

print ("Input a number")
factorialIP = int (input ())
ffactor23 = 1
for j in range (1, factorialIP+1):
   ffactor23 = ffactor23 * j
print ("The factorial of the number is “, ffactor23)

आउटपुट:

Input a number
4
The factorial of the number is 24

ऊपर Python program takes the input of positive numbers only, and it does not have a check of negative numbers in it. In this program, the factor is 1 when j is equal to 1. When j is 2, the factor is multiplied with 2, and it will do the action till j comes at 4 to arrive at 24.

IF…else कथन का उपयोग करके किसी संख्या का फैक्टोरियल

निम्नलिखित Python code illustrates the factorial function using a function. Unlike the loop version, this program also checks for negative numbers before computing the factorial.

पिछले में Python code, the check for negative numbers was not applied, making the factorial function incomplete and prone to deliver an error message if negative numbers are given as an input.

In the given code, the loop begins with one and multiplies by each preceding number, and the function also validates the input for negative numbers.

Python कोड:

print("Enter a number for the purpose of determining factorial")
factorialIP = int(input())
def factorial(factorialIP):
   if factorialIP < 0:
     print ('Factorial does not exist')
     factor=0
     return factor
   elif factorialIP == 0:
     factor=1
     return factor
     print(factor)
   else:
     factor = 1
     for j in range (1, factorialIP+1):
       factor = factor * j
     return factor
  print ("The factorial of the number is ", factorial(factorialIP))

आउटपुट:

1) Enter a number to determine factorial
   -4
   Factorial does not exist
   The factorial of the number is 0

2) Enter a number to determine factorial
   4
   Factorial does not exist
   The factorial of the number is 24

इस Python program accepts positive numbers and adds a check for negative numbers using the if and else statement, correctly returning 24 for an input of 4.

रिकर्सन का उपयोग करके किसी संख्या का फैक्टोरियल

निम्नलिखित Python code illustrates the factorial function using recursion. In this example, a recursive function that takes a positive integer as input determines the factorial number.

Python कोड:

print("Enter a number for the purpose of determining factorial")
def factorial(num2):
  if num2 < 0:
    return 'Factorial does not exist'
  elif num2 == 0:
     return 1
  else:
     return num2 * factorial(num2-1)
number1 = int(input())
print("The factorial of the number is",factorial(number1))

आउटपुट:

Enter a number for the purpose of determining factorial
4
The factorial of the number is 24

The recursion can be explained as a concept wherein the function invoked in the Python module can call itself again and again. It runs until the Python condition present in the module is satisfied, wherein the function invoked is passed with a value.

ऊपरोक्त में Python program, the function def factorial keeps calling itself recursively until and unless the number reaches zero. Once the number reaches zero, it initializes the number as 1, ending the recursion.

Factorial of a Number using math.factorial()

निम्नलिखित Python code illustrates the factorial function using math.factorial(), which can be used by importing the math module.

This function does not accept negative integers, and it throws a value error when float numbers are provided.

Python कोड:

print("Enter a number for computing factorial")
import math
number1 = int(input())
print("The factorial is as computed comes out to be ")
print(math.factorial(number1))

आउटपुट:

Enter a number for computing factorial
4
The factorial, as computed, comes out to be 24

फैक्टोरियल प्रोग्राम के लिए एल्गोरिथ्म Python

आइये एक उदाहरण लेते हैं जो फैक्टोरियल की अवधारणा को स्पष्ट करता है।

For determination of factorial 5, follow these steps:

5! = 5 x (5-1) x (5-2) x (5-3) x (5-4)
5! =120

यहाँ, 5! को 120 के रूप में व्यक्त किया गया है।

निम्नलिखित आरेख फैक्टोरियल की गणना के एल्गोरिथ्म को समझने में मदद करता है, और इस मामले में, आइए फैक्टोरियल 4 का उदाहरण लें!

फैक्टोरियल 4 का एल्गोरिथ्म सह सचित्र उदाहरण!

फैक्टोरियल का अनुप्रयोग Python

किसी संख्या के फैक्टोरियल का गणित में व्यापक स्तर पर अनुप्रयोग होता है। यहाँ इसके महत्वपूर्ण अनुप्रयोग दिए गए हैं Python:

• Python helps in computation, followed with print factorial in faster and more efficient terms than other available programming languages.
• RSI Python code is easily understandable and can be replicated across different platforms, and the factorial Python program can be incorporated in several mathematical model-building assignments.

अक्सर पूछे जाने वाले प्रश्न