Question

Which is the even prime number?
A. 1
B. 2
C. 4
D. 10

Answer 1

Hint: The numbers which are completely divisible by 2 are called Even numbers. The numbers which are greater than one and have exactly 2 divisors have been called Prime numbers. In this question, we are supposed to find a number that is a prime number and exactly divisible by 2.

Complete step-by-step solution:
Even numbers:
The numbers which are exactly divisible by two are known as even numbers. They leave a remainder of zero or no remainder when divided by the number two.
Even numbers can be equally divided into groups.
They usually end with digits 0,2,4,6,8.
We can say that all the even numbers are in the form n = 2k, where k is an integer.
Prime numbers:
The numbers which are greater than one and have exactly 2 factors have been called Prime numbers.
A prime number has only 2 factors 1 and the number itself.
Every composite number in mathematics can be expressed as the product of the prime numbers.
Properties of prime numbers:
1. All the natural numbers that are greater than one can be divided by at least one prime number.
2. All the prime numbers except the number 2 are odd.
3. Any two prime numbers are always co-primes to each other.
4. All the even numbers except 0 and 2 can be expressed as the sum of two prime numbers.
In the given question,
The number 2 is greater than one and has exactly 2 factors.
Factors of 2: 1, 2.
2 is a prime number.
The number 2 ends with a digit 2 so it is a multiple of 2.
$\Rightarrow 2\times 1\text{ }=\text{ }2$
From above, 2 is an even number.
Therefore, 2 is the even prime number.
Option B is the correct choice for the given question.

Note: All the prime numbers are greater than one. The number 1 is neither prime nor composite. The end digits of an even number must be 0,2,4,6,8. All the prime numbers are odd or 2 is the only even prime number.