factorizing

Meanings

• verb

  The process of breaking down a number into its factors.

  - "To factorize a number means to find its prime factors."
  - "The mathematician factorized the equation into simpler terms."

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Variants

List of all variants of factorizing that leads to same result
factorization , factorizations , factorize , factorized , factorizes , factorizing

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Etymology

origin and the way in which meanings have changed throughout history.

The term 'factorize' is derived from the Latin word 'factor' meaning 'doer or maker' and the suffix '-ize' which means 'to make or do'. In mathematics, it refers to the process of finding the factors of a number.

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Trivia

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1. The largest known prime number with 137 digits was factorized using the General Number Field Sieve algorithm.

2. The RSA algorithm, which is widely used for secure data transmission, relies on the difficulty of factorizing large composite numbers.

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Related Concepts

informations on related concepts or terms closely associated with the word. Discuss semantic fields or domains that the word belongs to

1. Prime numbers: Numbers greater than 1 that have only two distinct positive divisors: 1 and the number itself.

2. Composite numbers: Numbers that have more than two distinct positive divisors.

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Culture

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Factorizing has been used extensively in mathematics, particularly in number theory and algebra. It is an essential concept in the study of prime numbers and the distribution of numbers.

How to Memorize "factorizing"

1. visualize
   

   - Imagine a number being broken down into smaller parts. Visualize the process of finding the factors of a number.

2. associate
   

   - Associate the term 'factorize' with the concept of breaking down or finding the factors of a number.

3. mnemonics
   

   - Use the mnemonic 'Factor Finder' to remember the meaning of factorize.

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