Understanding Even Numbers | Definition, Properties, and Notation

All even numbers(last digit is even)

Definition:

Even numbers are integers that can be evenly divided by 2

Definition:

Even numbers are integers that can be evenly divided by 2. In other words, an even number is any number that, when divided by 2, gives a whole number with no remainder.

Explanation:

To identify even numbers, we can examine their last digit. If the last digit is even (0, 2, 4, 6, or 8), then the number itself is even.

For example, 4, 8, 12, 16, and 20 are all even numbers because their last digit is even. When divided by 2, they yield whole numbers without any remainder.

On the other hand, numbers like 3, 7, 11, and 15 have odd last digits and hence are considered odd numbers.

It is important to note that zero (0) is also an even number, as it can be divided by 2 without leaving any remainder.

Even numbers have certain properties that can be useful in mathematics, especially in algebra or number theory. For instance, any even number can be expressed as the product of 2 and another integer.

In mathematical notation, we can represent even numbers using the following pattern:

2n

Where ‘n’ is an integer, and ‘2’ is the factor by which the number is divisible.

In conclusion, even numbers are integers that have an even last digit (0, 2, 4, 6, or 8) and can be divided by 2 without leaving a remainder.

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