A divisor is a number that can divide another number without leaving a remainder. For example, if you take the number 12, its divisors are 1, 2, 3, 4, 6, and 12. This means that when you divide 12 by any of these numbers, the result is a whole number. Divisors are important in various areas of mathematics, including factors, multiples, and prime numbers. Understanding divisors helps in simplifying fractions, finding common denominators, and solving problems related to number theory. They also play a role in determining whether a number is even or odd.