@prefix p: <http://www.wikidata.org/prop/> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix schema1: <http://schema.org/> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix wd: <http://www.wikidata.org/entity/> .
@prefix wds: <http://www.wikidata.org/entity/statement/> .
@prefix wdt: <http://www.wikidata.org/prop/direct/> .
@prefix wdtn: <http://www.wikidata.org/prop/direct-normalized/> .
@prefix wikibase: <http://wikiba.se/ontology#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

wd:Q670235 rdfs:label "المبرهنة الأساسية في الحسابيات"@ar,
        "Teorema fundamental de l'aritmética"@ast,
        "асноўная тэарэма арытмэтыкі"@be-tarask,
        "Основна теорема на аритметиката"@bg,
        "পাটিগণিতের মৌলিক উপপাদ্য"@bn,
        "teorema fonamental de l'aritmètica"@ca,
        "základní věta aritmetiky"@cs,
        "Арифметикăн тĕп теореми"@cv,
        "Aritmetikkens fundamentalsætning"@da,
        "Fundamentalsatz der Arithmetik"@de,
        "Θεμελιώδες θεώρημα αριθμητικής"@el,
        "fundamental theorem of arithmetic"@en,
        "fundamenta teoremo de aritmetiko"@eo,
        "teorema fundamental de la aritmética"@es,
        "Aritmeetika põhiteoreem"@et,
        "Aritmetikaren oinarrizko teorema"@eu,
        "قضیه اساسی حساب"@fa,
        "Aritmetiikan peruslause"@fi,
        "théorème fondamental de l'arithmétique"@fr,
        "bunteoirim na huimhríochta"@ga,
        "Teorema fundamental da aritmética"@gl,
        "Fundamentalsatz der Arithmetik"@gsw,
        "המשפט היסודי של האריתמטיקה"@he,
        "अङ्कगणित का मूलभूत प्रमेय"@hi,
        "Osnovni teorem aritmetike"@hr,
        "a számelmélet alaptétele"@hu,
        "Թվաբանության հիմնական թեորեմ"@hy,
        "Teorema dasar aritmetika"@id,
        "Undirstöðusetning reikningslistarinnar"@is,
        "teorema fondamentale dell'aritmetica"@it,
        "算術の基本定理"@ja,
        "არითმეტიკის ფუნდამენტური თეორემა"@ka,
        "ಅಂಕಗಣಿತದ ಮೂಲಭೂತ ಪ್ರಮೇಯ"@kn,
        "산술의 기본 정리"@ko,
        "Арифметиканын негизги теориясы"@ky,
        "Theorema fundamentale arithmeticae"@la,
        "Teorem fundal de aritmetica"@lfn,
        "Teorema fondamental de l'aritmetica"@lmo,
        "pagrindinė aritmetikos teorema"@lt,
        "Aritmētikas pamatteorēma"@lv,
        "算術基本定理"@lzh,
        "Основна теорема на аритметиката"@mk,
        "അങ്കഗണിതത്തിലെ അടിസ്ഥാന സിദ്ധാന്തം"@ml,
        "Teorem asas aritmetik"@ms,
        "ဂဏန်းသင်္ချာ၏ အခြေခံသီအိုရမ်"@my,
        "Aritmetikkens fundamentalteorem"@nb,
        "hoofdstelling van de rekenkunde"@nl,
        "podstawowe twierdzenie arytmetyki"@pl,
        "Teorema fondamental dl'aritmética"@pms,
        "teorema fundamental da aritmética"@pt,
        "teorema fundamental da aritmética"@pt-br,
        "Teorema fundamentală a aritmeticii"@ro,
        "основная теорема арифметики"@ru,
        "Tiurèma funnamintàli di l'arittimètica"@scn,
        "අංක ගණිතයේ මූලික ප් රමේයය"@si,
        "Základná veta aritmetiky"@sk,
        "osnovni izrek aritmetike"@sl,
        "Teorema themelore e aritmetikës"@sq,
        "Основна теорема аритметике"@sr,
        "aritmetikens fundamentalsats"@sv,
        "எண்கணிதத்தின் அடிப்படைத் தேற்றம்"@ta,
        "ทฤษฎีบทมูลฐานของเลขคณิต"@th,
        "Aritmetiğin temel teoremi"@tr,
        "основна теорема арифметики"@uk,
        "حساب کا بنیادی مسئلہ اثباتی"@ur,
        "Định lý cơ bản của số học"@vi,
        "算术基本定理"@wuu,
        "質數分解"@yue,
        "算术基本定理"@zh ;
    schema1:dateModified "2026-10-12T07:40:48+00:00"^^xsd:dateTime ;
    schema1:description "тэарэма аб простай фактарызацыі ліку"@be-tarask,
        "«els nombres enters tenen factoritzacions en nombres primers úniques»"@ca,
        "tvrzení, že každé přirozené n > 1 lze jednoznačně rozložit na součin prvočísel"@cs,
        "mathematischer Satz"@de,
        "theorem about prime factorization of a number"@en,
        "از قضایای مهم در نظریهٔ اعداد"@fa,
        "théorème d'arithmétique"@fr,
        "משפט מתמטי"@he,
        "poučak o faktorizaciji broja (rastava na proste faktore)"@hr,
        "matematikai állítás"@hu,
        "teorema"@it,
        "初等整数論における定理"@ja,
        "fundamental theorem of algebra-യുമായി ആശയക്കുഴപ്പം സംഭവിക്കാതിരിക്കാൻ ശ്രദ്ധിക്കുക"@ml,
        "jednoznaczność faktoryzacji liczb złożonych – rozkładu na czynniki pierwsze"@pl,
        "izrek o razcepu števila na prafaktorje"@sl,
        "teorem inom den matematiska grenen talteori"@sv,
        "Lý thuyết số"@vi,
        "关于数字的素因数分解的定理"@zh ;
    schema1:version 2556175397 ;
    wikibase:identifiers 12 ;
    wikibase:sitelinks 70 ;
    wikibase:statements 24 ;
    skos:altLabel "FTA"@en,
        "prime factorisation theorem"@en,
        "prime factorization theorem"@en,
        "unique factorisation theorem"@en,
        "unique factorization theorem"@en,
        "unique-prime-factorization theorem"@en,
        "teorema fundamental de la aritmetica"@es,
        "számelmélet alaptétele"@hu,
        "teorema della fattorizzazione unica"@it,
        "唯一分解定理"@zh ;
    p:P12800 wds:Q670235-3C25E14E-09FF-47C3-AD6B-F4BCC3721F03 ;
    p:P12888 wds:Q670235-E058B2DB-8D07-477B-BD62-3C74B44C15DA ;
    p:P1343 wds:Q670235-F6C9276A-1C13-4694-8651-A18097F08D20,
        wds:Q670235-fd983eda-48a4-c47b-6ea3-28734583da74 ;
    p:P1417 wds:Q670235-695da6df-4574-3f2b-74b7-0801de3356a1 ;
    p:P1889 wds:Q670235-B17BA48D-B2DA-4D38-856C-DDECB66F1121 ;
    p:P2534 wds:Q670235-2fa9c184-4a65-184e-989a-6b0055bc771b ;
    p:P2579 wds:Q670235-dad6c1a6-4344-7938-ac35-7f8a77d89ecc ;
    p:P2812 wds:Q670235-202dafa4-4835-6702-84ed-9df73f048291 ;
    p:P31 wds:Q670235-89248910-4f9a-9161-fe13-1c9b20be33d1 ;
    p:P3417 wds:Q670235-6B0955E6-1380-4EDB-A80D-D0682ED0A6EB ;
    p:P373 wds:Q670235-2e4fc26b-4af1-6c62-c71c-fa13f2c8711e ;
    p:P4215 wds:Q670235-2ABE986D-0CF6-4DCE-8505-420D56B1E3DA ;
    p:P5008 wds:Q670235-D5813775-7B61-463A-8B95-69397201F8B6 ;
    p:P6104 wds:Q670235-240399A0-F78D-4DD0-927A-477A2D6F4AE2 ;
    p:P6366 wds:Q670235-73F80C49-4C44-4CEB-8E6F-DB6A702241CA ;
    p:P646 wds:Q670235-22CD7DB9-9D1E-49D9-9D51-D079C0C8B8E1 ;
    p:P6564 wds:Q670235-d0427930-4bd7-af49-1281-2dd13dee12a8 ;
    p:P6802 wds:Q670235-e44bf5c8-43c9-1f7f-0b7b-00c43c03e69d ;
    p:P7726 wds:Q670235-A619F9C7-7304-4852-9DFE-7C7FFB954CD3 ;
    p:P8885 wds:Q670235-d1783f39-4a6c-8ec0-1755-fd7ac3e1b8f8 ;
    p:P921 wds:Q670235-2e8c795a-47a6-5d31-be36-cfe2f8635318,
        wds:Q670235-dd228b51-44dd-2cc5-4af6-9044e3e63ee9 ;
    p:P9621 wds:Q670235-846c477b-4fd0-1c6d-2d94-64870d720c10 ;
    wdtn:P6366 <https://makg.org/entity/68625148> ;
    wdt:P12800 "fr:Théorème_fondamental_de_l'arithmétique" ;
    wdt:P12888 "1arith" ;
    wdt:P1343 wd:Q140169500,
        wd:Q141623396 ;
    wdt:P1417 "topic/fundamental-theorem-of-arithmetic" ;
    wdt:P1889 wd:Q192760 ;
    wdt:P2534 "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mo stretchy=\"false\">(</mo><mo stretchy=\"false\">(</mo><mi>a</mi><mo stretchy=\"false\">&#x2208;</mo><mrow data-mjx-texclass=\"ORD\"><mi>ℤ</mi></mrow><mi mathvariant=\"normal\">&#x2216;</mi><mo fence=\"false\" stretchy=\"false\">{</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>,</mo><mo stretchy=\"false\">&#x2212;</mo><mn>1</mn><mo fence=\"false\" stretchy=\"false\">}</mo><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">&#x2227;</mo><mo stretchy=\"false\">(</mo><mi>p</mi><mo stretchy=\"false\">&#x2208;</mo><mrow data-mjx-texclass=\"ORD\"><mi>ℙ</mi></mrow><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">&#x2227;</mo><mo stretchy=\"false\">(</mo><msub><mi>e</mi><mrow data-mjx-texclass=\"ORD\"><mi>i</mi></mrow></msub><mo stretchy=\"false\">&#x2265;</mo><mn>1</mn><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">&#x2227;</mo><mo stretchy=\"false\">(</mo><mi>i</mi><mo stretchy=\"false\">&#x2260;</mo><mi>j</mi><mstyle scriptlevel=\"0\"><mspace width=\"0.278em\"></mspace></mstyle><mo>&#x27F9;</mo><mstyle scriptlevel=\"0\"><mspace width=\"0.278em\"></mspace></mstyle><msub><mi>p</mi><mrow data-mjx-texclass=\"ORD\"><mi>i</mi></mrow></msub><mo stretchy=\"false\">&#x2260;</mo><msub><mi>p</mi><mrow data-mjx-texclass=\"ORD\"><mi>j</mi></mrow></msub><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">)</mo><mstyle scriptlevel=\"0\"><mspace width=\"0.278em\"></mspace></mstyle><mo>&#x27F9;</mo><mstyle scriptlevel=\"0\"><mspace width=\"0.278em\"></mspace></mstyle><mi mathvariant=\"normal\">&#x2203;</mi><mo stretchy=\"false\">!</mo><msub><mi>p</mi><mrow data-mjx-texclass=\"ORD\"><mn>1</mn></mrow></msub><mo>,</mo><msub><mi>p</mi><mrow data-mjx-texclass=\"ORD\"><mn>2</mn></mrow></msub><mo>,</mo><mo stretchy=\"false\">&#x2026;</mo><mo>,</mo><msub><mi>p</mi><mrow data-mjx-texclass=\"ORD\"><mi>r</mi></mrow></msub><mo>,</mo><msub><mi>e</mi><mrow data-mjx-texclass=\"ORD\"><mn>1</mn></mrow></msub><mo>,</mo><msub><mi>e</mi><mrow data-mjx-texclass=\"ORD\"><mn>2</mn></mrow></msub><mo>,</mo><mo stretchy=\"false\">&#x2026;</mo><mo>,</mo><msub><mi>e</mi><mrow data-mjx-texclass=\"ORD\"><mi>r</mi></mrow></msub><mo stretchy=\"false\">:</mo><mi>a</mi><mo stretchy=\"false\">=</mo><mo stretchy=\"false\">&#x00B1;</mo><msubsup><mi>p</mi><mrow data-mjx-texclass=\"ORD\"><mi>i</mi></mrow><mrow data-mjx-texclass=\"ORD\"><msub><mi>e</mi><mrow data-mjx-texclass=\"ORD\"><mn>1</mn></mrow></msub></mrow></msubsup><msubsup><mi>p</mi><mrow data-mjx-texclass=\"ORD\"><mn>2</mn></mrow><mrow data-mjx-texclass=\"ORD\"><msub><mi>e</mi><mrow data-mjx-texclass=\"ORD\"><mn>2</mn></mrow></msub></mrow></msubsup><mo stretchy=\"false\">&#x22EF;</mo><msubsup><mi>p</mi><mrow data-mjx-texclass=\"ORD\"><mi>r</mi></mrow><mrow data-mjx-texclass=\"ORD\"><msub><mi>e</mi><mrow data-mjx-texclass=\"ORD\"><mi>r</mi></mrow></msub></mrow></msubsup></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P2579 wd:Q12479 ;
    wdt:P2812 "FundamentalTheoremofArithmetic" ;
    wdt:P31 wd:Q65943 ;
    wdt:P3417 "Fundamental-Theorem-of-Arithmetic" ;
    wdt:P373 "Fundamental theorem of arithmetic" ;
    wdt:P4215 "fundamental theorem of arithmetic" ;
    wdt:P5008 wd:Q6173448 ;
    wdt:P6104 wd:Q8487137 ;
    wdt:P6366 "68625148" ;
    wdt:P646 "/m/0325_" ;
    wdt:P6564 "fundamental-theorem-of-arithmetic" ;
    wdt:P6802 <http://commons.wikimedia.org/wiki/Special:FilePath/PrimeDecompositionExample.svg> ;
    wdt:P7726 "FundamentalTheoremOfArithmetic" ;
    wdt:P8885 "산술의 기본정리" ;
    wdt:P921 wd:Q1052579,
        wd:Q4846249 ;
    wdt:P9621 "teorema-fondamentale-dell-aritmetica" .

