1. Write a C program which prompts the user to enter an integer, and then displays all the factors of that integer. To do this, you will need to check every number from 1 up to the number entered and see if it is evenly divisible (remainder is zero). HINT: Use an if statement within the loop to check if the original number is divisible by the current loop counter, and if it is then display that number as a factor. 2. Write a C program which calculates the factorial (!) of an integer number entered by the user. A factorial is defined as the product of all numbers from 1 up to and including the number itself. For example, 5' = 1 x 2 x 3 x 4 x 5 120. Also note that 0! = I. Note that factorials above about 13 are too large to compute, so you may get errors. Therefore, you should double precision for storing the factorial