Divisor in Number Theory
Number theory is a branch of pure mathematics devoted primarily to the study of integers and integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) famously said that “mathematics is the queen of the sciences and number theory is the queen of mathematics.”
In number theory, a divisor is defined as a positive integer that evenly divides another integer without leaving a remainder. For example. the divisors of the number 35 are 1, 5, 7 and 35 because each number can divide the number, leaving no remainder.
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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