Answer

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**Hint:**For the given question first of all we will have to know about the prime and composite number very clearly. Prime number is the number which is only divided by 1 and the number itself whereas the composite number is the number which is divided by at least one number other than itself.

**Complete step-by-step answer:**

Let's see few more details about prime numbers and composite numbers for better understanding.

**Prime numbers**are those numbers that have only two factors, which are 1 and the number itself.For example, if we consider a number 19, we know that the only factors it has are 1 and 19, so 19 will be a prime number.

**Composite numbers**are those numbers that have more than 2 factors including 1 and the number itself. So, for example, if we consider a number 9, then we know that it has a total of three factors - 1, 3 and 9. So we get that 9 is a composite number.

Now, we know the concept of prime number and composite number very clearly.

0 has infinite factors as any number multiplied with 0 gives the result as 0. Also as per the definition, we know that prime and composite numbers are positive. We consider 0 as null or neither positive nor negative. So, 0 cannot be a prime or composite number.

1 has only one factor, which is itself. It doesn't satisfy the definition of both prime and composite numbers, so it cannot be a prime or composite number.

0 has infinite factors as any number multiplied with 0 gives the result as 0. Also as per the definition, we know that prime and composite numbers are positive. We consider 0 as null or neither positive nor negative. So, 0 cannot be a prime or composite number.

1 has only one factor, which is itself. It doesn't satisfy the definition of both prime and composite numbers, so it cannot be a prime or composite number.

**So on this basis we can easily say that “0” and “1” are neither prime nor composite. Therefore, the correct options of the given question is option (A) and (B).****Note:**> Remember the properties about the prime and composite numbers because it will help you a lot in these types of questions.

> Also remember the fact about the number is that any whole number which is greater than 1 is either prime or a composite number.

> Composite numbers are said as composite because the meaning of composite is “made by combining”. $4 $ is the Least composite number.

> A prime number can also be defined as a number which can not be made by multiplying another whole number.

> $2$ is the only even prime number and it is the least of all prime numbers. Except $2$ remaining all prime numbers are odd.

> The number $5$ given in option (D) is also a prime number.

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