Broadly speaking, there are two types of Integers.
1. Odd Integers
2.Even Integers

1. Odd Integers : Any number that cannot be divided by 2 is called an odd integer. For example : -3, -1, 1, 3, 5, 7, 9,11 and so on.
Properties of odd integers :
i. The difference between two consecutive odd integers is 2.
ii. If a is an odd integer, then the next consecutive odd integer will be a + 2.
iii. The sum of two odd integer is an even number.
iv. Product of two odd integers is an odd integer.
v. Division of an odd integer by another odd integer may not be an integer.

2. Even Integers : Any number that can be divided by 2 OR those integers that are multiple of 2 are even integers. For example. -4,-2, 0, 2, 4, 6 and so on.
Properties :
i. Difference between two even numbers is 2.
ii. If x is an even integer, then the next consecutive even integer will be x + 2.
iii. the sum of two even integers is an even integer.
iv. Product of two even integers is also an even integer.
v. Division of an even integer by another even integer may not be an integer.

Next topic will be Prime Numbers.