Integer properties refer to the characteristics and rules that govern whole numbers, which can be positive, negative, or zero. These properties include concepts such as even and odd numbers, where even numbers are divisible by 2, while odd numbers are not. Additionally, integers can be classified as prime or composite, with prime numbers having only two distinct positive divisors: 1 and themselves, while composite numbers have more than two. Another important aspect of integer properties is the closure property, which states that the sum or product of any two integers will always yield another integer. This means that when you add or multiply integers, you will never end up with a fraction or decimal. Understanding these properties is essential for performing arithmetic operations and solving mathematical problems involving integers.