Factorial Correct

# Objective

To implement a program that finds the factorial of a given number.

# Theory

A factorial is a mathematical function that represents the product of all positive integers up to a given number, denoted by an exclamation mark (!). The factorial of a non-negative integer n is the product of all positive integers less than or equal to n. It is defined as:

n = n  ×  (n−1) × (n−2) ×  …...... × 3 × 2× 1

For example: 5! =5 ×4×3×2×1=120

Factorials find extensive applications across diverse fields in mathematics, scientific endeavours, and engineering. Their utility lies in their capacity to signify the multitude of ways in which items can be organized. This is evident in various contexts, such as determining the permutations of elements (Combinatorics), calculating possible outcomes in probability, featuring in Taylor Series, and playing a role in calculus, among other applications.

# Learning Outcomes

• Understanding the concept of the factorial function: Implementing a factorial program helps learners understand the mathematical concept of the factorial function and how it works.
• Practice with loops and recursion: A factorial program is often implemented using loops or recursion, which provides learners with practice in these programming techniques.
• Problem-solving skills: Implementing a factorial program requires learners to break down a problem into smaller steps and develop a plan to solve it. This helps learners develop their problem-solving skills.
• Debugging skills: Implementing a factorial program often involves debugging errors that arise during implementation, which helps learners develop their debugging skills.
• Algorithmic thinking: A factorial program involves developing an algorithm to solve a problem, which helps learners develop their algorithmic thinking skills.
• Understanding of data types: Implementing a factorial program requires knowledge of integer data types and their limitations, helping learners understand the importance of data types in programming.
• Practice with basic syntax: Implementing a factorial program involves using basic programming syntax such as variables, functions, and operators, helping learners practice and solidify their understanding of these concepts.