Divisibility: meaning, definitions and examples
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divisibility
[ dɪˈvɪz.ɪ.bɪl.ɪ.ti ]
mathematics concept
Divisibility is a property of an integer when it can be divided by another integer without leaving a remainder. For instance, a number 'a' is divisible by 'b' if there exists an integer 'k' such that a = bk. This concept is fundamental in number theory and has numerous applications in mathematics.
Synonyms
divisibility rule, factorability
Examples of usage
- 6 is divisible by 3.
- 15 is divisible by 5.
- The number 12 has several divisors, indicating its divisibility.
Translations
Translations of the word "divisibility" in other languages:
🇵🇹 divisibilidade
🇮🇳 भाग्यता
🇩🇪 Teilbarkeit
🇮🇩 divisibilitas
🇺🇦 дільність
🇵🇱 dzielność
🇯🇵 可除性
🇫🇷 divisibilité
🇪🇸 divisibilidad
🇹🇷 bölünebilirlik
🇰🇷 나눌 수 있음
🇸🇦 القابلية للقسمة
🇨🇿 dělitelnost
🇸🇰 deliteľnosť
🇨🇳 可除性
🇸🇮 deljivost
🇮🇸 deildarhæfi
🇰🇿 бөлінгіштік
🇬🇪 ყოფილება
🇦🇿 bölünmə
🇲🇽 divisibilidad
Etymology
The word 'divisibility' comes from the Latin word 'divisibilitas', which is derived from 'divisibilis', meaning 'able to be divided'. The concept has been central to mathematics since ancient times, dating back to early civilizations that used numbers for trade and measurement. Philosophers and mathematicians such as Euclid explored properties of numbers, including divisibility, laying the groundwork for modern mathematics. As mathematics evolved through the ages, so too did the understanding of divisibility, becoming an essential part of number theory in particular. The term has been used widely in mathematics curricula, illustrating the importance of understanding how numbers relate to one another through factors and multiples.