Write a program that generates all the factors of a number entered by the user.

Question

Write a program that generates all the factors of a number entered by the user. For instance, the number 12 has the factors 2 * 2 * 3. This program has the following requirements:

A. The user must enter a positive integer. If the user enters something else, your program should output an error message and let the user enter a new value. Use a do/while loop to make sure the user input is successful.

B. The factors must be output in increasing order. The lowest factor your program should report is 2.

C. Your program should output 4 factors per line, each factor in a field of 10 characters. (Hint: the number of factors output determines when to output endl!)

D. You will need a while loop to report the factors. Here are some helpful hints:

1. If (a % b == 0) then a is a factor of b.

2. When you have found a factor, output the factor and then reduce the number you are working with by dividing the number by the factor… ie) b = b / a;

Explanation / Answer

Programming Problem 1: a) Algorithm while user enters a number less than 1 prompt user for number entry current_factor = 2 while number is less than 2 if the remainder of number divided by current_factor is zero display the factor if there are four factors on one line, go to net line number = number / current_factor else add one to current factor b) Test cases: -1, 16, 512 c) Program: #include using namespace std; int main() { bool valid_entry = false; int number; int factors_found = 0; int current_factor = 2; // 2 is min factor while (!valid_entry) { cout > number; if(number > 0) valid_entry = true; } cout

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