Divisors and Dividends
The key differences between both divisors and dividends are listed in the following table:
|
Characterstics |
Divisors |
Dividends |
|---|---|---|
|
Definition |
The number that divides another number is known as a divisor. | The dividend is the number that is divided into equal parts |
|
Expression |
In x ÷ y, “y” is the divisor | In x ÷ y, “x” is the dividend |
In other words, a divisor is a factor of a dividend. For instance:
For 12 ÷ 4 = 3
- The divisor in this expression is 4
- The dividend in this expression is 12
- The quotient/remainder in this expression is 3.
Read more about Dividend, Quotient and Remainder.
Divisors vs Factors
The key difference between divisors and factors are:
|
Characterstics |
Divisors |
Factors |
|---|---|---|
|
Definition |
The number that divides another number is known as a divisor. In maths, sometimes divisors refer to the integers that evenly divide the number without leaving a remainder. |
Factors are numbers that can be multiplied together to obtain a given number. |
|
Example for 12 |
Divisors of 12: 1, 2, 3, 4, 6, 12 | Factors of 12: 1, 2, 3, 4, 6, 12, -1, -2, -3, -4, -6, -12 |
Let’s consider an example, 15 divided by 5 gives 3 (15 ÷ 5 = 3). Similarly, if we divide 15 by 3 it gives 5 (15 ÷ 3 = 5).
The factors and divisors of 15 are 1, 3, 5 and 15 respectively.
However, if we divide 15 by 2 it will not completely divide the number. Thus, 2 is not the factor of 15 but will be considered a divisor.
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?