Properties of Divisors
Here are some interesting properties of divisors:
- A divisor can never be 0 i.e., any number with 0 as its divisor is undefined. For example: If 2 is divided by 0 then the remainder will be 0 (2 ÷ 0 = not defined).
- A divisor can be positive or negative. However, if stated otherwise, the term is often restricted to positive integers.
- If a divisor has the same value as a dividend, the quotient will always be 1.
- An even number always has an even divisor. An odd number will always have an odd divisor.
- If a divisor is a decimal number, it should be converted into a whole number before dividing.
Divisors in Maths
Divisor is the number from which we divide the dividend to determine the quotient and remainder. In arithmetic, division is one of the four fundamental operations; other operations are addition, subtraction, and multiplication.
Divisors in Number Theory are integers that divides another integer without leaving the remainder is also called a divisor.
In this article, we will discuss both definitions of a divisor, including the general, and the definition in number theory. We will also explore various properties and examples related to divisors and discuss concepts such as prime divisors, the number of divisors, the sum of divisors, and the difference between a divisor and a factor.
Table of Content
- What are Divisors?
- Properties of Divisors
- Divisors and Dividends
- Divisor in Number Theory
- Examples of Divisors
- What are Prime Divisors?