What is the even prime number?a)3b)2c)1d)None of the aboveCorrect answ...
The only even prime number is 2. This is because a prime number is defined as a number greater than 1 that has no positive divisors other than 1 and itself. While all other even numbers can be divided by 2, making them not prime, 2 can only be divided by 1 and 2, making it the only even prime number.
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What is the even prime number?a)3b)2c)1d)None of the aboveCorrect answ...
Even Prime Number
An even number is a number that is divisible by 2. However, the only even prime number is 2. Here's why:
Explanation
- A prime number is a number greater than 1 that has no positive divisors other than 1 and itself.
- Even numbers are divisible by 2, which means they have 2 as a factor.
- The only even number that meets the definition of a prime number is 2 because it has no other factors besides 1 and 2.
- All other even numbers, such as 4, 6, 8, etc., have factors other than 1 and themselves, making them composite numbers.
Therefore, the even prime number is 2, making option 'B' the correct answer.
What is the even prime number?a)3b)2c)1d)None of the aboveCorrect answ...
THE CORRECT ANSWER IS OPTION B) 2Here's why:
Definition of a Prime Number: A prime number is a number that has exactly two distinct factors: 1 and itself.
Checking the Given Options:
3: The factors of 3 are 1 and 3, so 3 is a prime number. However, 3 is an odd number.
2: The factors of 2 are 1 and 2, so 2 is a prime number. Additionally, it is the only even prime number.
1: The number 1 has only one factor (itself), so it does not qualify as a prime number.
So, we can say that all
other
even numbers (like 4, 6, 8, etc.) have more than two factors because they are
divisible by 2
making them composite numbers. Since 2 only has
two
factors, it remains the only even prime number.
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