Factors are parts of numbers that, multiplied together, give a larger number. Every number has at least two factors, one and the number itself. On the other hand, multiples are numbers where the same number is repeated, as if you were counting by that number. For example, the multiples of 2 start with 2 and are: 2, 4, 6, 8, 10 . . . and so on. Each additional number is a multiple of 2.
Factors and multiples are especially important in working with expanding and reducing fractions, as well as finding patterns in numbers. Finding the greatest common factor, least common multiple, and prime factors of a number are important skills you will learn in this section.