Write the definitions of the functions of the class primeFactorization $($Example $11-4)$ declared in the primeFactorization header file. Write a program that uses this class to output the prime factorization of an integer. Your program should prompt the user for an integer, determine if the input is a prime number, and display the factorization of the integer.

An example of the program is shown below:

Enter an integer between $2$ and $270,000,000,000,000$: $1005427$

$1005427$ is a prime number. Its factorization is:

$1005427=1005427$