Exercises 1- Write program uses a nested for loop to find the perfect numbers from 2 to N. 2- Write a program to enter any number and print all factors of the number. 3- Write a program that calculates the factorials of 1 through 20. Display the results in tabular format. 4- Write an application that displays the following patterns separately. 1 12 54321 5432 123 1234 1 12 123 1234 12345 543 54 12345 5 5- Write a C++ program to print the output of the following series x3 x x x sin(x) = x+ + + + 3! 5! 7! 9! + ... 6- Write a program that displays the following table: a 1 2. 3 4 5 b 2 3 4 5 6 pow(a, b) 1 8 81 1024 15625