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# Description
Nearly everyone is familiar with the factorial operator in math. 5! yields 120 because factorial means "multiply successive terms where each are one less than the previous":
5! -> 5 * 4 * 3 * 2 * 1 -> 120
Simple enough.
Now let's reverse it. Could you write a function that tells us that "120" is "5!"?
Hint: The strategy is pretty straightforward, just divide the term by successively larger terms until you get to "1" as the resultant:
120 -> 120/2 -> 60/3 -> 20/4 -> 5/5 -> 1 => 5!
# Sample Input
You'll be given a single integer, one per line. Examples:
120
150
# Sample Output
Your program should report what each number is as a factorial, or "NONE" if it's not legitimately a factorial. Examples:
120 = 5!
150 NONE
# Challenge Input
3628800
479001600
6
18
# Challenge Output
3628800 = 10!
479001600 = 12!
6 = 3!
18 NONE
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