Question

Is 0 and 1 a prime number?

Answer 1

Hint: Here in this question, we have to find 0 and 1 is either prime number or not. For this, first we have to know about the prime number, then by the definition and its property of the prime number we can check whether 0 and 1 is either a prime number or not a prime number.

Complete step by step answer:
A prime number (or a prime) is a natural number greater than 1 with only two factors – themselves and 1 and that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number.

An example of a prime number is 17. It can only be divided by 1 and 17. Dividing a prime number by another number results in numbers leftover Example: $$17 \div 6 = 2$$ remainder $$5$$. 18 is not an example of a prime number because it can be divided by 2, 3 and 6 as well as by itself and 1.18 is an example of a composite number because it has more than two factors.

Consider the given questions: Zero is not a prime number or prime, since it has more than 2 divisors because zero is even, since $$0 \div 2 = 0$$, and 0 is an integer. By definition, Prime numbers are those natural numbers that are divisible solely by the unity (1) and themselves. So, 0 is divided by every natural number. Number 1 has positive divisors as 1 and itself and it must have only two positive factors. Now, for 1, the number of positive factors is only one i.e., 1 itself. So, number one is not a prime number and one is not a composite number also.

Therefore, 0 and 1 both are not a prime number.

Note: A prime number or prime cannot be divided by any other numbers without leaving a remainder. 2 is the smallest prime number and it is also the only even prime number, all other even numbers can be divided at least by themselves, 1 and 2, which means they will have at least 3 factors.