Definition In mathematics, a multiple is the product of any quantity and an integer. in other words, for the quantities a and b, we say that b is a multiple of a if b = na for some integer n, which is called the multiplier or coefficient. If a is not zero, this is equivalent to saying that b/a is an integer with no remainder. If a and b are both integers, and b is a multiple of a, then a is called a divisor of b.
Examples 14, 49, -21 and 0 are multiples of 7 where as 3 and -6 are not. This is because there are integers that 7 may be multiplied by to reach the values of 14, 49, 0 and -21, while there are no such integers for 3 and -6. Each of the products listed below, and in particular, the products for 3 and - 6, is the only way that the relevant number can be written as a product of 7 and another real number: 14 = 7 x 2-21 = 7 x (-3) 49 = 7 x 70 = 7 x 0 3 = 7 x 3/7, and 3/7 is a rational number, not an integer -6 = 7 x (-6/7), and -6/7 is a rational number, not an integer.