What is the definintion of integers?

What is the definintion of integers?
An integer is a whole number (not a fraction) that can be positive, negative, or zero. Therefore, the numbers 10, 0, -25, and 5,148 are all integers. Unlike floating point numbers.
Integers are a commonly used data type in computer programming. For example, whenever a number is being incremented, such as within a "for loop" or "while loop," an integer is used. Integers are also used to determine an item's location within an array.

When two integers are added, subtracted, or multiplied, the result is also an integer. However, when one integer is divided into another, the result may be an integer or a fraction. For example, 6 divided by 3 equals 2, which is an integer, but 6 divided by 4 equals 1.5, which contains a fraction. Decimal numbers may either be rounded or truncated to produce an integer result.http://www.techterms.com/definition/integerwebsite i got it from.