What are Divisors?
Divisors are integers that are used to evenly divide another number without leaving a remainder. For example, the divisors of the number 16 are 1,2,4,8, and 16 because they evenly divide 16 without leaving any remainder. Whereas, 3 is not a divisor of the number 16 because when you divide 16 by 3, you get a remainder (16 ÷ 3 = 5).
Divisors play a fundamental role that is frequently used in various areas of mathematics such as number theory, algebra, arithmetic, and problem-solving situations.
Divisor Definition
Divisor is a number by which another number, known as the dividend, is divided.
In other words, a divisor is an integer that, when multiplied by a whole number, results in the original number without any fractional or remainder part.
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?
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