A positive integer m is called composite if m $=$ ab$,$ where a and b are positive integers such that a $!=1$ and b $!=1.$

If m is composite, then m can be written as a product of prime numbers. Let m be an integer such that $2<=$ m $<=100,000,000.$ If the integer entered is not within this range, continually prompt the user for an integer until one is provided.

Modify the program in Exercise $21$ so that if m is not prime, the program outputs m as a product of prime numbers.

Code from Exercise $21$ has been included for you.

Two examples of the program are shown below:

Enter an integer between $2$ and $100,000,000$: $22222$

$22222$ is not a prime number.

$22222=2*41*271$

Enter an integer between $2$ and $100,000,000$: $11$

$11$ is a prime number.