"factorization" meaning in English

See factorization in All languages combined, or Wiktionary

Noun

Forms: factorizations [plural]
Etymology: From factorize + -ation. Etymology templates: {{af|en|factorize|-ation}} factorize + -ation Head templates: {{en-noun|~}} factorization (countable and uncountable, plural factorizations)
  1. (mathematics) The process of creating a list of factors. Tags: countable, uncountable Categories (topical): Mathematics
    Sense id: en-factorization-en-noun-toqK4aQw Topics: mathematics, sciences
  2. (mathematics) An expression listing items that, when multiplied together, will produce a desired quantity. Tags: countable, uncountable Categories (topical): Mathematics Translations (expression listing factors): tekijöiden tulo (Finnish), faktorisering [common-gender] (Swedish)
    Sense id: en-factorization-en-noun-f0Ulcvov Topics: mathematics, sciences Disambiguation of 'expression listing factors': 17 57 26
  3. A list of factors. Tags: countable, uncountable Translations (creating a list of factors): tekijöihin jakaminen (Finnish), tekijöihinjako (Finnish), factorisation [feminine] (French), παραγοντοποίηση (paragontopoíisi) [feminine] (Greek), અવયવીકરણ (avayavīkraṇ) (Gujarati), fachtóiriú [masculine] (Irish), көбөйтүүчүлөргө ажыратуу (köböytüücülörgö ajıratuu) (Kyrgyz), fatorização (Portuguese), faktorisering [common-gender] (Swedish), pagbungkag (Tagalog) Translations (list of factors): tekijät (Finnish)
    Sense id: en-factorization-en-noun-22dRjcB3 Categories (other): English entries with incorrect language header, English terms suffixed with -ation, Entries with translation boxes, Pages with 1 entry, Pages with entries, Terms with Finnish translations, Terms with French translations, Terms with Greek translations, Terms with Gujarati translations, Terms with Irish translations, Terms with Kyrgyz translations, Terms with Portuguese translations, Terms with Swedish translations, Terms with Tagalog translations Disambiguation of English entries with incorrect language header: 6 24 70 Disambiguation of English terms suffixed with -ation: 11 22 67 Disambiguation of Entries with translation boxes: 9 21 70 Disambiguation of Pages with 1 entry: 7 24 69 Disambiguation of Pages with entries: 4 19 77 Disambiguation of Terms with Finnish translations: 8 28 63 Disambiguation of Terms with French translations: 10 23 67 Disambiguation of Terms with Greek translations: 15 33 52 Disambiguation of Terms with Gujarati translations: 8 30 62 Disambiguation of Terms with Irish translations: 8 28 63 Disambiguation of Terms with Kyrgyz translations: 8 28 63 Disambiguation of Terms with Portuguese translations: 9 28 64 Disambiguation of Terms with Swedish translations: 8 28 64 Disambiguation of Terms with Tagalog translations: 8 28 63 Disambiguation of 'creating a list of factors': 39 3 58 Disambiguation of 'list of factors': 24 2 73
The following are not (yet) sense-disambiguated
Synonyms: factorisation [British, mainly] Derived forms: complete factorization, integer factorization, overfactorization, prime factorization, unique factorization domain, unique factorization ring

Inflected forms

Alternative forms

{
  "derived": [
    {
      "_dis1": "0 0 0",
      "word": "complete factorization"
    },
    {
      "_dis1": "0 0 0",
      "word": "integer factorization"
    },
    {
      "_dis1": "0 0 0",
      "word": "overfactorization"
    },
    {
      "_dis1": "0 0 0",
      "word": "prime factorization"
    },
    {
      "_dis1": "0 0 0",
      "word": "unique factorization domain"
    },
    {
      "_dis1": "0 0 0",
      "word": "unique factorization ring"
    }
  ],
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  "etymology_text": "From factorize + -ation.",
  "forms": [
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      "form": "factorizations",
      "tags": [
        "plural"
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    }
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  "head_templates": [
    {
      "args": {
        "1": "~"
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      "expansion": "factorization (countable and uncountable, plural factorizations)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
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            "Sciences",
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            "Fundamental"
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          "source": "w"
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      "examples": [
        {
          "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"
        }
      ],
      "glosses": [
        "The process of creating a list of factors."
      ],
      "id": "en-factorization-en-noun-toqK4aQw",
      "links": [
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        [
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        [
          "factor",
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        ]
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      "raw_glosses": [
        "(mathematics) The process of creating a list of factors."
      ],
      "tags": [
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        "uncountable"
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        "sciences"
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      "glosses": [
        "An expression listing items that, when multiplied together, will produce a desired quantity."
      ],
      "id": "en-factorization-en-noun-f0Ulcvov",
      "links": [
        [
          "mathematics",
          "mathematics"
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        [
          "expression",
          "expression"
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        [
          "multiplied",
          "multiply"
        ]
      ],
      "raw_glosses": [
        "(mathematics) An expression listing items that, when multiplied together, will produce a desired quantity."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "_dis1": "17 57 26",
          "code": "fi",
          "lang": "Finnish",
          "sense": "expression listing factors",
          "word": "tekijöiden tulo"
        },
        {
          "_dis1": "17 57 26",
          "code": "sv",
          "lang": "Swedish",
          "sense": "expression listing factors",
          "tags": [
            "common-gender"
          ],
          "word": "faktorisering"
        }
      ]
    },
    {
      "categories": [
        {
          "_dis": "6 24 70",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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            "Entry maintenance"
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          "source": "w+disamb"
        },
        {
          "_dis": "11 22 67",
          "kind": "other",
          "name": "English terms suffixed with -ation",
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          "_dis": "9 21 70",
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        {
          "_dis": "7 24 69",
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          "_dis": "4 19 77",
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        {
          "_dis": "8 28 63",
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          "_dis": "10 23 67",
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        {
          "_dis": "15 33 52",
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        {
          "_dis": "8 30 62",
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        {
          "_dis": "8 28 63",
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          "_dis": "8 28 63",
          "kind": "other",
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      ],
      "examples": [
        {
          "ref": "1991, Paulo Ribenboim, The Little Book of Big Primes, page 172:",
          "text": "Actual factorizations are now known for every p ≤ 89.",
          "type": "quote"
        }
      ],
      "glosses": [
        "A list of factors."
      ],
      "id": "en-factorization-en-noun-22dRjcB3",
      "links": [
        [
          "factor",
          "factor"
        ]
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "translations": [
        {
          "_dis1": "39 3 58",
          "code": "fi",
          "lang": "Finnish",
          "sense": "creating a list of factors",
          "word": "tekijöihin jakaminen"
        },
        {
          "_dis1": "39 3 58",
          "code": "fi",
          "lang": "Finnish",
          "sense": "creating a list of factors",
          "word": "tekijöihinjako"
        },
        {
          "_dis1": "39 3 58",
          "code": "fr",
          "lang": "French",
          "sense": "creating a list of factors",
          "tags": [
            "feminine"
          ],
          "word": "factorisation"
        },
        {
          "_dis1": "39 3 58",
          "code": "el",
          "lang": "Greek",
          "roman": "paragontopoíisi",
          "sense": "creating a list of factors",
          "tags": [
            "feminine"
          ],
          "word": "παραγοντοποίηση"
        },
        {
          "_dis1": "39 3 58",
          "code": "gu",
          "lang": "Gujarati",
          "roman": "avayavīkraṇ",
          "sense": "creating a list of factors",
          "word": "અવયવીકરણ"
        },
        {
          "_dis1": "39 3 58",
          "code": "ga",
          "lang": "Irish",
          "sense": "creating a list of factors",
          "tags": [
            "masculine"
          ],
          "word": "fachtóiriú"
        },
        {
          "_dis1": "39 3 58",
          "code": "ky",
          "lang": "Kyrgyz",
          "roman": "köböytüücülörgö ajıratuu",
          "sense": "creating a list of factors",
          "word": "көбөйтүүчүлөргө ажыратуу"
        },
        {
          "_dis1": "39 3 58",
          "code": "pt",
          "lang": "Portuguese",
          "sense": "creating a list of factors",
          "word": "fatorização"
        },
        {
          "_dis1": "39 3 58",
          "code": "sv",
          "lang": "Swedish",
          "sense": "creating a list of factors",
          "tags": [
            "common-gender"
          ],
          "word": "faktorisering"
        },
        {
          "_dis1": "39 3 58",
          "code": "tl",
          "lang": "Tagalog",
          "sense": "creating a list of factors",
          "word": "pagbungkag"
        },
        {
          "_dis1": "24 2 73",
          "code": "fi",
          "lang": "Finnish",
          "sense": "list of factors",
          "word": "tekijät"
        }
      ]
    }
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      "_dis1": "0 0 0",
      "tags": [
        "British",
        "mainly"
      ],
      "word": "factorisation"
    }
  ],
  "wikipedia": [
    "factorization"
  ],
  "word": "factorization"
}
{
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    "Terms with Kyrgyz translations",
    "Terms with Portuguese translations",
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    "Terms with Tagalog translations"
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  "derived": [
    {
      "word": "complete factorization"
    },
    {
      "word": "integer factorization"
    },
    {
      "word": "overfactorization"
    },
    {
      "word": "prime factorization"
    },
    {
      "word": "unique factorization domain"
    },
    {
      "word": "unique factorization ring"
    }
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  "etymology_text": "From factorize + -ation.",
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        {
          "ref": "2013 October 23, Tina Rosenberg, “In ‘Flipped’ Classrooms, a Method for Mastery”, in The New York Times:",
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          "type": "quote"
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      ],
      "glosses": [
        "The process of creating a list of factors."
      ],
      "links": [
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          "create"
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        [
          "factor",
          "factor"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The process of creating a list of factors."
      ],
      "tags": [
        "countable",
        "uncountable"
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        "mathematics",
        "sciences"
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        "An expression listing items that, when multiplied together, will produce a desired quantity."
      ],
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        "(mathematics) An expression listing items that, when multiplied together, will produce a desired quantity."
      ],
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        "uncountable"
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        "mathematics",
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          "type": "quote"
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      ],
      "glosses": [
        "A list of factors."
      ],
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        [
          "factor",
          "factor"
        ]
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        "uncountable"
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  ],
  "synonyms": [
    {
      "tags": [
        "British",
        "mainly"
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      "word": "factorisation"
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  ],
  "translations": [
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "creating a list of factors",
      "word": "tekijöihin jakaminen"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "creating a list of factors",
      "word": "tekijöihinjako"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "creating a list of factors",
      "tags": [
        "feminine"
      ],
      "word": "factorisation"
    },
    {
      "code": "el",
      "lang": "Greek",
      "roman": "paragontopoíisi",
      "sense": "creating a list of factors",
      "tags": [
        "feminine"
      ],
      "word": "παραγοντοποίηση"
    },
    {
      "code": "gu",
      "lang": "Gujarati",
      "roman": "avayavīkraṇ",
      "sense": "creating a list of factors",
      "word": "અવયવીકરણ"
    },
    {
      "code": "ga",
      "lang": "Irish",
      "sense": "creating a list of factors",
      "tags": [
        "masculine"
      ],
      "word": "fachtóiriú"
    },
    {
      "code": "ky",
      "lang": "Kyrgyz",
      "roman": "köböytüücülörgö ajıratuu",
      "sense": "creating a list of factors",
      "word": "көбөйтүүчүлөргө ажыратуу"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "creating a list of factors",
      "word": "fatorização"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "creating a list of factors",
      "tags": [
        "common-gender"
      ],
      "word": "faktorisering"
    },
    {
      "code": "tl",
      "lang": "Tagalog",
      "sense": "creating a list of factors",
      "word": "pagbungkag"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "expression listing factors",
      "word": "tekijöiden tulo"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "expression listing factors",
      "tags": [
        "common-gender"
      ],
      "word": "faktorisering"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "list of factors",
      "word": "tekijät"
    }
  ],
  "wikipedia": [
    "factorization"
  ],
  "word": "factorization"
}

Download raw JSONL data for factorization meaning in English (4.4kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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.