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Q.

The total number of even prime numbers is:


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a

0

b

1

c

2

d

None of these 

answer is B.

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Detailed Solution

Concept- By applying the definition of a prime number, we can fix this problem. A number with only the elements 1 and itself is referred to as a prime number. We may calculate the total number of even numbers that are primes using this definition.
We are aware that a number with only the number one and itself as factors is considered a prime number.
Consider 2 as the first even number.
The factors of 2 are now written asQuestion Image. In this case, we can conclude that the number 2 only has factors 1 and 2. Therefore, 2 is a prime number.
Let's now think of any other even number except 2 as k.
The number k can be expressed as follows
Question Image Here, ‘n’ is any other number
Now we will write the factor of ‘k’ as
Question ImageWe can conclude that the number k in this case contains more than two factors. As a result ′k′ is not a prime number.
As a result, we can see that 2 is the only even prime number.
Hence, the correct answer is option 2.
 
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The total number of even prime numbers is: