Write a program that prompts the user for a positive integer. Validate the input, then let the user know whether this number is prime or not. A prime number is only divisible by 1 and itself.#7 Write...

Write a program that prompts the user for a positive integer. Validate the input, then let the user know whether this number is prime or not. A prime number is only divisible by 1 and itself.

#7 Write a program that prompts the user for two positive integers. Validate the input, then find the value of one number raised to the power of another. E.g.: 2, 3 = 2 x 2 x 2 = 8 4, 2 = 4 x 4 = 16 #8 Write a program that prompts the user for a positive integer and finds the factorial value of a positive integer entered through the keyboard. The factorial of a number n is calculated by multiplying the number by all the numbers that come before it – down to 1. n! = n x (n-1)! E.g.: 7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 5! = 5 x 4 x 3 x 2 x 1 3! = 3 x 2 x 1 … #9 Write a program to guess a number between 1 and 9. If the user guesses wrong, then the prompt appears again until the guess is correct. On a successful guess, the user gets a “Well guessed!” message, and the program will exit. Modify the program to cap the number of guesses.

#10 Write a program that reads a set of integers, and then prints the following: the number of even integers, the number of odd integers, the sum of the even integers, and the sum of the odd integers