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fundamental theorem of arithmetic

theorem about prime factorization of a number
Intangible theorem Q670235
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fundamental theorem of arithmetic

Summary

fundamental theorem of arithmetic is a theorem[1]. It ranks in the top 4% of theorem entities by monthly Wikipedia readership (439 views/month).[2]

Key Facts

  • fundamental theorem of arithmetic's instance of is recorded as theorem[3].
  • fundamental theorem of arithmetic's Commons category is recorded as Fundamental theorem of arithmetic[4].
  • fundamental theorem of arithmetic's Freebase ID is recorded as /m/0325_[5].
  • fundamental theorem of arithmetic's main subject is recorded as integer factorization[6].
  • fundamental theorem of arithmetic's main subject is recorded as unique factorization domain[7].
  • fundamental theorem of arithmetic's Encyclopædia Britannica Online ID is recorded as topic/fundamental-theorem-of-arithmetic[8].
  • fundamental theorem of arithmetic's different from is recorded as fundamental theorem of algebra[9].
  • fundamental theorem of arithmetic's defining formula is recorded as ((a \in \mathbb{Z}\backslash{0,1,-1}) \land (p \in \mathbb{P}) \land (e_i \geq 1) \land (i \neq j \implies p_i \neq p_j)) \implies \exists! p_1, p_2, \dotsc , p_r, e_1, e_2, \dotsc , e_r : a=\pm p_i^{e_1}p_2^{e_2} \dotsm p_r^{e_r}[10].
  • fundamental theorem of arithmetic's studied by is recorded as number theory[11].
  • fundamental theorem of arithmetic's MathWorld ID is recorded as FundamentalTheoremofArithmetic[12].
  • fundamental theorem of arithmetic's Quora topic ID is recorded as Fundamental-Theorem-of-Arithmetic[13].
  • fundamental theorem of arithmetic's nLab ID is recorded as fundamental theorem of arithmetic[14].
  • fundamental theorem of arithmetic's on focus list of Wikimedia project is recorded as Wikipedia:Vital articles/Level/4[15].
  • fundamental theorem of arithmetic's maintained by WikiProject is recorded as WikiProject Mathematics[16].
  • fundamental theorem of arithmetic's Microsoft Academic ID is recorded as 68625148[17].
  • fundamental theorem of arithmetic's Brilliant Wiki ID is recorded as fundamental-theorem-of-arithmetic[18].
  • fundamental theorem of arithmetic's related image is recorded as PrimeDecompositionExample.svg[19].
  • fundamental theorem of arithmetic's Namuwiki ID is recorded as 산술의 기본정리[20].
  • fundamental theorem of arithmetic's Treccani's Enciclopedia della Matematica ID is recorded as teorema-fondamentale-dell-aritmetica[21].
  • fundamental theorem of arithmetic's Vikidia article ID is recorded as fr:Théorème_fondamental_de_l'arithmétique[22].
  • fundamental theorem of arithmetic's Metamath statement ID is recorded as 1arith[23].

Why It Matters

fundamental theorem of arithmetic ranks in the top 4% of theorem entities by monthly Wikipedia readership (439 views/month).[2] It has Wikipedia articles in 30 language editions, a strong signal of global cultural recognition.[24] It is known by 10 alternative names across languages and contexts.[25]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [4] ↑ . wikidata.org.
  3. [5] ↑ . Freebase Data Dumps. wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . wikidata.org.
  8. [10] ↑ . Insiemi, numeri e polinomi. wikidata.org.
  9. [11] ↑ . wikidata.org.
  10. [12] ↑ . wikidata.org.
  11. [13] ↑ . Quora. wikidata.org.
  12. [14] ↑ . wikidata.org.
  13. [15] ↑ . wikidata.org.
  14. [16] ↑ . wikidata.org.
  15. [17] ↑ . wikidata.org.
  16. [18] ↑ . wikidata.org.
  17. [19] ↑ . wikidata.org.
  18. [20] ↑ . wikidata.org.
  19. [21] ↑ . wikidata.org.
  20. [22] ↑ . wikidata.org.
  21. [23] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [24] ↑ . Wikidata sitelinks. wikidata.org.
  3. [25] ↑ . Wikidata aliases. wikidata.org.

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Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). fundamental theorem of arithmetic. Retrieved May 3, 2026, from https://4ort.xyz/entity/fundamental-theorem-of-arithmetic
MLA “fundamental theorem of arithmetic.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/fundamental-theorem-of-arithmetic.
BibTeX @misc{4ortxyz_fundamental-theorem-of-arithmetic_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{fundamental theorem of arithmetic}}, year = {2026}, url = {https://4ort.xyz/entity/fundamental-theorem-of-arithmetic}, note = {Accessed: 2026-05-03}}
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