Divisors: meaning, definitions and examples

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divisors

 

[dɪˈvaɪzərz ]

Definition

Context #1 | Noun

mathematics

Divisors are numbers that can divide another number without leaving a remainder. In other words, a divisor is a number that can be multiplied by another number to produce the original number.

Synonyms

factors, multiples.

Examples of usage

  • 6 has divisors 1, 2, 3, and 6.
  • The divisors of 12 are 1, 2, 3, 4, 6, and 12.
  • The divisor of 25 is 5.

Interesting Facts

Mathematics

  • Divisors are fundamental to number theory, which studies properties and relationships of numbers.
  • Every whole number greater than one has at least two divisors: one and itself.
  • Prime numbers have exactly two divisors, while composite numbers have more.

Historical Origins

  • The concept of divisibility dates back to ancient civilizations like the Babylonians, who used it for both mathematics and trade.
  • Euclid, a Greek mathematician, systematized the study of numbers, including their divisors, around 300 BC.
  • In the Middle Ages, divisors were crucial for understanding and developing the concepts of fractions and ratios.

Pop Culture

  • In video games, particularly strategy games, players often use divisors to determine resource management and division of assets.
  • Certain puzzles and games, like Sudoku, rely on understanding divisors for placing numbers correctly.
  • Math-themed movies, like 'Good Will Hunting', highlight the importance of divisors in solving complex problems.

Science

  • The study of divisors plays a role in computer algorithms, particularly in mathematics-related computational tasks.
  • In genetics, the concept of clustering related to divisors helps in understanding patterns of inheritance.
  • Divisors are used in statistical analysis, helping to identify patterns and relationships among data sets.

Literature

  • Fictional narratives often use numerical and mathematical concepts symbolically, where characters must 'find their divisors' in personal journeys.
  • In poetry, themes related to division and parts often implicitly refer to the idea of divisors in the search for wholeness.
  • Numerical puzzles and riddles frequently appear in literature, challenging characters with problems that hinge on divisors.

Translations

Translations of the word "divisors" in other languages:

🇵🇹 divisores

🇮🇳 भाजक

🇩🇪 Teiler

🇮🇩 pembagi

🇺🇦 дільники

🇵🇱 dzielniki

🇯🇵 約数 (やくすう)

🇫🇷 diviseurs

🇪🇸 divisores

🇹🇷 bölenler

🇰🇷 약수 (yaksu)

🇸🇦 عوامل القسمة

🇨🇿 dělitele

🇸🇰 delitele

🇨🇳 约数 (yuē shù)

🇸🇮 delitelji

🇮🇸 deilar

🇰🇿 бөлгіштер

🇬🇪 გამყოფი

🇦🇿 bölənlər

🇲🇽 divisores

Word Frequency Rank

At rank #28,296, this word represents specialized academic or technical vocabulary. It's less frequently encountered but may be valuable in specific contexts.