An even number is an integer that is "evenly divisible" by 2, i.e., divisible by 2 without a remainder. So, ..., -4, -2, 0, 2, 4, ... are all even integers.

Even numbers can be positive or negative. In case of negative, we may call them as negative even integers, whereas positive numbers as positive even integers. Same concepts is applicable for odd numbers also.

Odd numbers are those numbers that cannot be divided into two equal parts, whereas even numbers are those numbers that can be divided into two equal parts. Examples of odd numbers are 3, 5, 7, 9, 11, 13, 15,… Examples of even numbers are 2, 4, 6, 8, 10, 12, 14,…

The numbers that are not odd, are even numbers, which are divisible by 2. Odd numbers cannot be divided into two parts equally but even numbers can be divided equally.

The only even number that is a prime number, or we can say that the only prime number that is an even number is the number 2. This is a fact that the number 2 is not divisible by any number other than 1 and 2. Therefore, two is the only even prime number.

i) If an even number is divided by 2, the quotient is always odd. quotient is even number. So if an even number is divided by 2, then the quotient may be odd or even. So the statement is a false statement.

The even numbers are the numbers divisible by 2. For a number to be divisible by 2 it should be a multiple of 2. Hence all the even numbers are multiples of 2 and all multiples of 2 are even numbers.

What are even and odd numbers? Even numbers are divisible by 2 without remainders. They end in 0, 2, 4, 6, or 8. Odd numbers are not evenly divisible by 2 and end in 1, 3, 5, 7, or 9.