2. Program factors.cpp (no starter template provided): (a) Prompt and read in an integer. (b) If the integer is not positive (negative or zero), print the error message \Number must be positive." and repeat step (a). (c) Use nested for loops to display all the factors of each integer from 1 to the input integer in increasing order. The outer for loop will iterate from 1 to the input integer and the nested for loop will display all the factors for a particular integer. An integer x is a factor of y if y mod x equals 0. Note that 1 and y are always (trivial) factors of y.