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Question

Answers

A. Even number

B. Odd number

C. Prime number

D. Composite number

Answer

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Even numbers are those numbers which are divisible by 2. Numbers whose unit place is 0, 2, 4, 6, 8 are divisible by 2. Even numbers leave no remainder when divided by 2.

Odd numbers are those numbers which are not divisible by 2. They have 1, 3, 5, 7, 9 at their unit place. Odd numbers leave 1 as a remainder when divided by 2.

Even number can be written in the form of $\left( {2n} \right)$, whereas, every odd number can be written in the form of \[(2n - 1){\text{ }}or{\text{ }}(2n + 1)\], where n is a natural number.

Composite numbers are those natural numbers which have more than two factors.

Prime numbers are those numbers which have exactly two factors, i.e. 1 and the number itself. Every prime number is an odd number except number 2.

Hence, option (B) is correct.

A. 1 is neither a prime nor a composite number.

B. 2 is the only even prime number. It is the smallest prime number.

C. Not all odd numbers are prime numbers.

D. All composite numbers can be written as products of prime numbers.