"prime factorization" meaning in English

See prime factorization in All languages combined, or Wiktionary

Noun

Forms: prime factorizations [plural], prime factorisation [alternative]
Head templates: {{en-noun}} prime factorization (plural prime factorizations)
  1. (mathematics) The factorization of a positive integer into its constituent prime numbers. Wikipedia link: Integer factorization Categories (topical): Mathematics, Number theory Synonyms: integer factorization, prime decomposition [rare] Translations (factorization of a positive integer into its constituent prime numbers): prvočíselný rozklad [masculine] (Czech), rozklad na prvočísla [masculine] (Czech), primfaktoropløsning [common-gender] (Danish), priemfactorisatie [feminine] (Dutch), alkutekijähajotelma (Finnish), décomposition en facteurs premiers [feminine] (French), Primfaktorzerlegung [feminine] (German), prímfaktorizáció (Hungarian), prímfelbontás (Hungarian), rozkład na czynniki pierwsze [masculine] (Polish), prim-factorizare [feminine] (Romanian), factorizare în primi factori [feminine] (Romanian), primtalsfaktorisering (Swedish), balhong pagbungkag (Tagalog)

Inflected forms

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          "ref": "2013 October 23, Tina Rosenberg, “In ‘Flipped’ Classrooms, a Method for Mastery”, in The New York Times:",
          "text": "A fifth-grade class will spend a set number of days on prime factorization and then move on to study greatest common factors — whether or not every student is ready.",
          "type": "quote"
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      ],
      "id": "en-prime_factorization-en-noun-3lRf5l8J",
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        "(mathematics) The factorization of a positive integer into its constituent prime numbers."
      ],
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          "word": "integer factorization"
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          "tags": [
            "rare"
          ],
          "word": "prime decomposition"
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          "code": "cs",
          "lang": "Czech",
          "sense": "factorization of a positive integer into its constituent prime numbers",
          "tags": [
            "masculine"
          ],
          "word": "prvočíselný rozklad"
        },
        {
          "code": "cs",
          "lang": "Czech",
          "sense": "factorization of a positive integer into its constituent prime numbers",
          "tags": [
            "masculine"
          ],
          "word": "rozklad na prvočísla"
        },
        {
          "code": "da",
          "lang": "Danish",
          "sense": "factorization of a positive integer into its constituent prime numbers",
          "tags": [
            "common-gender"
          ],
          "word": "primfaktoropløsning"
        },
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          "code": "nl",
          "lang": "Dutch",
          "sense": "factorization of a positive integer into its constituent prime numbers",
          "tags": [
            "feminine"
          ],
          "word": "priemfactorisatie"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "factorization of a positive integer into its constituent prime numbers",
          "word": "alkutekijähajotelma"
        },
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          "code": "fr",
          "lang": "French",
          "sense": "factorization of a positive integer into its constituent prime numbers",
          "tags": [
            "feminine"
          ],
          "word": "décomposition en facteurs premiers"
        },
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          "code": "de",
          "lang": "German",
          "sense": "factorization of a positive integer into its constituent prime numbers",
          "tags": [
            "feminine"
          ],
          "word": "Primfaktorzerlegung"
        },
        {
          "code": "hu",
          "lang": "Hungarian",
          "sense": "factorization of a positive integer into its constituent prime numbers",
          "word": "prímfaktorizáció"
        },
        {
          "code": "hu",
          "lang": "Hungarian",
          "sense": "factorization of a positive integer into its constituent prime numbers",
          "word": "prímfelbontás"
        },
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          "code": "pl",
          "lang": "Polish",
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          "tags": [
            "masculine"
          ],
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        },
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          "code": "ro",
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          "sense": "factorization of a positive integer into its constituent prime numbers",
          "tags": [
            "feminine"
          ],
          "word": "prim-factorizare"
        },
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          "code": "ro",
          "lang": "Romanian",
          "sense": "factorization of a positive integer into its constituent prime numbers",
          "tags": [
            "feminine"
          ],
          "word": "factorizare în primi factori"
        },
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          "code": "sv",
          "lang": "Swedish",
          "sense": "factorization of a positive integer into its constituent prime numbers",
          "word": "primtalsfaktorisering"
        },
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          "code": "tl",
          "lang": "Tagalog",
          "sense": "factorization of a positive integer into its constituent prime numbers",
          "word": "balhong pagbungkag"
        }
      ],
      "wikipedia": [
        "Integer factorization"
      ]
    }
  ],
  "word": "prime factorization"
}
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        "masculine"
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      "word": "prvočíselný rozklad"
    },
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      "code": "cs",
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      "sense": "factorization of a positive integer into its constituent prime numbers",
      "tags": [
        "masculine"
      ],
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    },
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      "code": "da",
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      "sense": "factorization of a positive integer into its constituent prime numbers",
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        "common-gender"
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    },
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      "code": "nl",
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      "sense": "factorization of a positive integer into its constituent prime numbers",
      "tags": [
        "feminine"
      ],
      "word": "priemfactorisatie"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "factorization of a positive integer into its constituent prime numbers",
      "word": "alkutekijähajotelma"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "factorization of a positive integer into its constituent prime numbers",
      "tags": [
        "feminine"
      ],
      "word": "décomposition en facteurs premiers"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "factorization of a positive integer into its constituent prime numbers",
      "tags": [
        "feminine"
      ],
      "word": "Primfaktorzerlegung"
    },
    {
      "code": "hu",
      "lang": "Hungarian",
      "sense": "factorization of a positive integer into its constituent prime numbers",
      "word": "prímfaktorizáció"
    },
    {
      "code": "hu",
      "lang": "Hungarian",
      "sense": "factorization of a positive integer into its constituent prime numbers",
      "word": "prímfelbontás"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "factorization of a positive integer into its constituent prime numbers",
      "tags": [
        "masculine"
      ],
      "word": "rozkład na czynniki pierwsze"
    },
    {
      "code": "ro",
      "lang": "Romanian",
      "sense": "factorization of a positive integer into its constituent prime numbers",
      "tags": [
        "feminine"
      ],
      "word": "prim-factorizare"
    },
    {
      "code": "ro",
      "lang": "Romanian",
      "sense": "factorization of a positive integer into its constituent prime numbers",
      "tags": [
        "feminine"
      ],
      "word": "factorizare în primi factori"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "factorization of a positive integer into its constituent prime numbers",
      "word": "primtalsfaktorisering"
    },
    {
      "code": "tl",
      "lang": "Tagalog",
      "sense": "factorization of a positive integer into its constituent prime numbers",
      "word": "balhong pagbungkag"
    }
  ],
  "word": "prime factorization"
}

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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-02-26 from the enwiktionary dump dated 2025-02-21 using wiktextract (ce0be54 and f2e72e5). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.