Question

Create a function named Factorial that calculates the factorial of n. The function must consider all cases.

n! = n x (n - 1) x (n - 2) x (n - 3) x ... x 3 x 2 x 1.
0!= 1.
1!= 1.
Negative number! = undefined.

Call the function with the values 2, 4, 6, 8 and 10 using a for loop. Your output must look like this:
Factorial(2) = 2.
Factorial(4) = 24.
Factorial(6) = 720.
Factorial(8) = 40320.
Factorial(10) = 3628800.

Answer 1

The Factorial function multiplies all positive integers from n down to 1, and the factorial of 0 is defined as 1. For negative integers, it is undefined. A for loop can be used to calculate and display the factorial of the numbers 2, 4, 6, 8, and 10.

Step-by-step explanation:

Creating the Factorial Function

The factorial of a non-negative integer n is the product of all positive integers less than or equal to n. It is denoted by n!. The factorial of 0 is 1 (0! = 1). Factorials are not defined for negative numbers. When creating a function to compute the factorial, we use a loop that multiplies the numbers in descending order from the number n to 1, or we return 1 when n is 0.

To display the factorial for the numbers 2, 4, 6, 8, and 10 in a specific format, a for loop can be used to iterate through these values and call the Factorial function for each one.

Factorial Function Definition

Here is pseudocode for the Factorial function:

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Using the Function in a For Loop

Using a for loop for the values 2, 4, 6, 8, and 10:

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This will generate the requested output, showing each number with its corresponding factorial value.