Illustration of a conditional loop - While loop:

As an illustration of a conditional loop, we will write a function which will find the first factorial which is greater than the input argument high. Formerly, we wrote a function to compute a specific factorial. For illustration, to compute 5! We found the product 1 * 2 * 3 * 4 * 5. In that situation a for loop was used, as it was known that the loop would be repeated 5 times. Now, we do not know how many times the loop will be repeated. The fundamental algorithm is to have two variables, one that iterates throughout the values 1, 2, 3, and so forth, and one which stores the factorial of the iterator at each step. We begin with 1, and 1 factorial, that is 1. Then, we confirm the factorial. If it is not bigger than high, the iterator variable will then increment to 2, and finds its factorial (2). If this is not greater than high, the iterators will then increment to 3, and the function will also find its factorial (6). This continues till we get to the first factorial which is greater than high. Therefore, the process of incrementing a variable and finding its factorial is repeated till we get to the first value greater than high. This is implemented by using a while loop: