"prime factorization" meaning in English

See prime factorization in All languages combined, or Wiktionary

Noun

Forms: prime factorizations [plural]
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], prime factorisation 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

Download JSON data for prime factorization meaning in English (4.0kB)

{
  "forms": [
    {
      "form": "prime factorizations",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "prime factorization (plural prime factorizations)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English entries with topic categories using raw markup",
          "parents": [
            "Entries with topic categories using raw markup",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms with non-redundant non-automated sortkeys",
          "parents": [
            "Terms with non-redundant non-automated sortkeys",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Number theory",
          "orig": "en:Number theory",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "The factorization of a positive integer into its constituent prime numbers."
      ],
      "id": "en-prime_factorization-en-noun-3lRf5l8J",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "positive",
          "positive"
        ],
        [
          "integer",
          "integer"
        ],
        [
          "prime number",
          "prime number"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The factorization of a positive integer into its constituent prime numbers."
      ],
      "synonyms": [
        {
          "word": "integer factorization"
        },
        {
          "tags": [
            "rare"
          ],
          "word": "prime decomposition"
        },
        {
          "word": "prime factorisation"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "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"
        },
        {
          "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"
        },
        {
          "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"
        }
      ],
      "wikipedia": [
        "Integer factorization"
      ]
    }
  ],
  "word": "prime factorization"
}
{
  "forms": [
    {
      "form": "prime factorizations",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "prime factorization (plural prime factorizations)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English entries with topic categories using raw markup",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with non-redundant non-automated sortkeys",
        "en:Mathematics",
        "en:Number theory"
      ],
      "glosses": [
        "The factorization of a positive integer into its constituent prime numbers."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "positive",
          "positive"
        ],
        [
          "integer",
          "integer"
        ],
        [
          "prime number",
          "prime number"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The factorization of a positive integer into its constituent prime numbers."
      ],
      "synonyms": [
        {
          "word": "integer factorization"
        },
        {
          "tags": [
            "rare"
          ],
          "word": "prime decomposition"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Integer factorization"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "prime factorisation"
    }
  ],
  "translations": [
    {
      "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"
    },
    {
      "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"
    },
    {
      "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"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-20 from the enwiktionary dump dated 2024-05-02 using wiktextract (1d5a7d1 and 304864d). 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.