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______ is the smallest prime number which is even.
- a)2
- b)4
- c)3
- d)1
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
______ is the smallest prime number which is even.a)2b)4c)3d)1Correct ...
The smallest prime number that is even is 2. A prime number is a number greater than 1 that has no positive divisors other than 1 and itself.
2 is the only even prime number because every other even number is divisible by 2, which means they have more divisors than just 1 and themselves, making them composite.
Therefore, the correct answer is A: 2.
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Community Answer
______ is the smallest prime number which is even.a)2b)4c)3d)1Correct ...
The smallest prime number which is even is 2.
Prime Numbers:
- Prime numbers are natural numbers greater than 1 that have no positive divisors other than 1 and themselves.
- Examples of prime numbers include 2, 3, 5, 7, 11, 13, and so on.
Even Numbers:
- Even numbers are integers that are divisible by 2 without leaving a remainder.
- Examples of even numbers include 2, 4, 6, 8, 10, 12, and so on.
Explanation:
- The number 2 is the only prime number that is even.
- All other even numbers have 2 as a factor, making them divisible by 2 and therefore not prime.
- For example, the number 4 is divisible by 2 and can also be divided by 1 and 4, so it is not prime.
- Similarly, the number 6 is divisible by 2, 3, and 6, so it is not prime either.
Therefore, the smallest prime number which is even is 2.
Prime Numbers:
- Prime numbers are natural numbers greater than 1 that have no positive divisors other than 1 and themselves.
- Examples of prime numbers include 2, 3, 5, 7, 11, 13, and so on.
Even Numbers:
- Even numbers are integers that are divisible by 2 without leaving a remainder.
- Examples of even numbers include 2, 4, 6, 8, 10, 12, and so on.
Explanation:
- The number 2 is the only prime number that is even.
- All other even numbers have 2 as a factor, making them divisible by 2 and therefore not prime.
- For example, the number 4 is divisible by 2 and can also be divided by 1 and 4, so it is not prime.
- Similarly, the number 6 is divisible by 2, 3, and 6, so it is not prime either.
Therefore, the smallest prime number which is even is 2.
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