How to Find Divisors of a Number?
There are a few ways to find out divisors of a number:
Brute Force Method: List out all the factors of the number, beginning with 1 and itself. For example, the divisors of 20 are 1, 2, 4, 5, 10, and 20.
Divisor Using Prime Factorization: Prime Factorization of a number involves expressing a positive integer as a product of its prime divisors. Prime numbers are those that have only 2 factors i.e. 1 and themselves.
For example, 20 can be written as follows:
20 = 5 × 4
Here, 5 is a prime number and 4 is a composite number, which can have more factors.
Thus, 20 = 2 × 2 × 5
Hence, the prime factorization of 20 is 2 × 2 × 5.
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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