Why is 2 the only even prime number?

Answer 1

Genesis Amaya

Because all other even numbers have 2 as a factor.

A prime number can have only 1 and itself as factors.

Any even number has 2 as a factor so if the number has itself , 2 and 1 as factors it can not be prime.

2 is an even number that has only itself and 1 as factors so it is the only even number that is a prime.

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Answer 2

Jeremiah Andrews

2 is the only even prime number because a prime number is defined as a number greater than 1 that has no positive divisors other than 1 and itself. Since all even numbers greater than 2 are divisible by 2, they cannot be prime. Therefore, 2 is the only even number that meets the criteria for being a prime number.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.