DIVISIBILITY Meaning and
Definition
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Divisibility refers to the property or characteristic of a number to be divided evenly or exactly by another number without leaving a remainder. It is the measure of how well one number can be divided by another.
In mathematics, divisibility is a fundamental concept that assists in understanding the relationships and properties of numbers. It is based on the concept of integer division, where one number, called the dividend, is divided by another number, known as the divisor, resulting in a quotient and a remainder.
For a number to be divisible by another number, the quotient should be a whole number, meaning there is no remainder after the division. In such cases, the divisor is said to be a factor or a divisor of the dividend, and the dividend is said to be divisible by the divisor.
Divisibility plays a crucial role in various mathematical topics, such as arithmetic, algebra, and number theory. It provides a foundation for understanding prime numbers, prime factorization, common factors, and multiples. Divisibility rules are often used to quickly determine if a number is divisible by a specific divisor, based on the patterns formed by the digits in the number.
Overall, divisibility is a vital concept in number theory and serves as a fundamental tool for analyzing numbers, their factors, and their relationships with one another.
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The property possessed by bodies of being separated into parts.
Etymological and pronouncing dictionary of the English language. By Stormonth, James, Phelp, P. H. Published 1874.
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Etymology of DIVISIBILITY
The word "divisibility" comes from the Latin word "divisibilitas", which is derived from the verb "dividere", meaning "to divide". In the context of mathematics, divisibility refers to the property of being able to be divided evenly without leaving a remainder.
Similar spelling words for DIVISIBILITY
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