How do you identify an even number?

An even number is an integer that is divisible by 2 without leaving a remainder.

To identify an even number, you can check if it ends in 0, 2, 4, 6, or 8. These are the digits that indicate a number is even. For example, 14, 28, and 102 are all even numbers because their last digits are 4, 8, and 2, respectively.

Another way to determine if a number is even is to divide it by 2. If the result is an integer (a whole number), then the original number is even. For instance, if you divide 16 by 2, you get 8, which is an integer, so 16 is even. Conversely, if you divide 15 by 2, you get 7.5, which is not an integer, so 15 is not even.

In mathematical terms, an even number can be expressed as 2n, where n is an integer. This means that any number that can be written as twice another whole number is even. For example, 2 × 3 = 6, so 6 is even.

Understanding even numbers is fundamental in various areas of mathematics, including algebra and number theory. Recognising even numbers can help simplify calculations and solve problems more efficiently. For example, when adding two even numbers, the result is always even, and when multiplying an even number by any other integer, the result is also even.