Define factorial of a natural number recursively.
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The factorial of a number is the product of all the integers from 1 to the number. For example, the factorial of 6 (denoted as 6!) as 1 * 2 * 3 * 4 * 5 * 6 = 720. Factorial is not defined for negative numbers and the factorial of zero is one, 0! = 1.
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