Vidya wonders why numbers one and zero are neither composite numbers nor prime numbers. Could you please explain to Vidya what can happen if they were either composite numbers or prime numbers? Use an example to punch your points.

One is neither a prime nor a composite number. A prime number is one with exactly two positive divisors, itself and one. One has only one positive divisor. It cannot be written as a product of two factors, neither of which is itself, so one is also not composite. It falls in a class of numbers called units. These are the numbers whose reciprocals are also whole numbers.Zero is not a prime or a composite number either. Zero has an infinite number of divisors (any nonzero whole number divides zero). It cannot be written as a product of two factors, neither of which is itself, so zero is also not composite. It falls in a class of numbers called zero-divisors. These are numbers such that, when multiplied by some nonzero number, the product is zero.The most important fact of multiplication of integers is called theFundamental Theorem of Arithmetic. It says that every whole numbergreater than one can be written *uniquely* (except for their order) asthe product of prime numbers. This is so important that we tailor ouridea of what a prime number is to make it true. If 1 were a primenumber, this would be false, since, for example, 7 = 1*7 = 1*1*7 = 1*1*1*7 = ...,and the uniqueness would fail.