fundamental theorem of arithmetic

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fundamental theorem of arithmetic

Fundamental principle of number theory proved by Carl Friedrich Gauss in 1801. It states that any integer greater than 1 can be expressed as the product of prime numbers in only one way.

fundamental theorem of arithmetic [¦fən·də¦ment·əl ¦thir·əm əv ə′rith·mə·tik]

(mathematics)

Every positive integer greater than 1 can be factored uniquely into the formP₁^n₁…P_i^n_i…P_k^n_k, where theP_iare primes, then_ipositive integers.

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No references found			The Fundamental Theorem of Arithmetic (FTAR) states that any natural number n can be written uniquely (except for the order of factors) as a product of prime numbers. Computers and mathematical philosophies in educational trends by Khadivi, M.R. / Journal of Computers in Mathematics and Science Teaching The Fundamental Theorem of Arithmetic (FTAR) states that any natural number n can be written uniquely (except for the order of factors) as a product of prime numbers. Computers for mathematics: theoretical solution versus constructive ... by Khadivi, M.R. / Journal of Computers in Mathematics and Science Teaching			fundamental forms of a surface fundamental frequency fundamental frequency of the voice fundamental group fundamental interaction Fundamental interactions fundamental interval fundamental jelly Fundamental Length Fundamental Library of the Social Sciences fundamental mode fundamental motion fundamental number Fundamental Orders fundamental particle fundamental quantity fundamental region fundamental sequence fundamental series fundamental star places Fundamental State Laws of the Russian Empire fundamental strength fundamental substance fundamental tensor fundamental theorem of algebra fundamental theorem of arithmetic fundamental theorem of calculus Fundamental Tone fundamental unit fundamental wavelength Fundamentalism fundamentalism, Christian fundamentalism, Islamic fundholding fundic gland Fundic Glands fundula fundus Fundy Fundy National Park Fundy, Bay Fundy, Bay of Funen Funeral funeral customs Funeral Feast Funeral Urn Funev, Ivan Fünfkirchen Fungal biotechnology fungal diseases			Fundamental Query and Manipulation fundamental reason Fundamental Reference System Fundamental regime Fundamental regime Fundamental region Fundamental research Fundamental research Fundamental research Fundamental research Fundamental research Fundamental Research on Economic Agents Fundamental Review of Infrastructure Fundamental Review of Military Budget Fundamental rights Fundamental rights Fundamental rights Fundamental Rights Agency Fundamental Rodent Experiments Supporting Health fundamental rule Fundamental sequence fundamental series fundamental star places Fundamental State Laws of the Russian Empire fundamental strength fundamental substance Fundamental system fundamental tensor Fundamental theorem of algebra Fundamental theorem of algebra fundamental theorem of arithmetic Fundamental Theorem of Asset Pricing Fundamental theorem of calculus Fundamental theorem of calculus Fundamental theorem of finite abelian groups Fundamental theorem of finite abelian groups Fundamental Theorem of Integral Calculus Fundamental Theorem of Moment Invariants Fundamental theorem of natural selection Fundamental theorem of number theory Fundamental theorem of poker Fundamental theorem of projective geometry Fundamental theorem of projective geometry Fundamental Theorem of Software Engineering Fundamental theorem of symmetric functions Fundamental theorem of the calculus Fundamental Theorem of Welfare Economics Fundamental theorems of calculus Fundamental theory Fundamental tone Fundamental tone fundamental tones Fundamental Train Frequency Fundamental unit Fundamental unit Fundamental unit Fundamental units Fundamental units Fundamental units Fundamental values Fundamental values

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