Zero - Prime Or Composite
Most of us will be wondering whether the number (awesome & unique number) is either prime or composite . The general explanation you might have received is that ZERO is not a natural number and so it is neither prime nor composite . Well , of course , the answer is correct . Zero is Neither Prime Nor Composite but the way of explaining is not correct and is not logically valid .
We all know the definition of the PRIME Number . The Prime Number is a number which has exactly two factors 1 and itself . But Zero has infinitely many factors i.e., zero is divisible by all numbers except zero and so zero can never be a Prime Number .
Now lets jump on to the definition of a COMPOSITE Number . The Composite Number is a number which can be represented by the product of any two positive integers , neither of which can be itself . Since Zero can never be represented as a product of two non-zero positive integers , it can also never be a Composite Number .
As ZERO can never be a Prime number and also a Composite number , ZERO is NEITHER PRIME NOR COMPOSITE .
