in mathematics, a divisor of an integer "n", also called a factor of "n", is an integer which divides "n" without leaving a remainder. the statement ""m" is a divisor of "n"" can be written as formula_1. any number is always divisible by 1 and itself, which are two of the divisors. a prime number is a number with no other divisors. the positive divisors of a number "n", other than "n" itself, are the proper divisors of "n".