(Abstract Algebra 1) Fundamental Theorem of Arithmetic

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The Fundamental Theorem of Arithmetic is introduced along with a proof using the Well-Ordering Principle and a generalization of Euclid's Lemma.
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  2. Algebra (Field Of Study)
  3. Arithmetic (Literature Subject)
  4. Abstract Algebra (Field Of Study)
  5. Fundamental Theorem Of Arithmetic
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Комментарии
Автор

Do we know n is not prime because S includes the case where there is only one factor? i.e. We are to assume a prime integer can be factored into a product of primes if we allow a product to have only one factor?

nicholascousar
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How do we know that n in part 1 is not a prime?

Serfer
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1:40 (1) Thanks for this. I am no longer confused XD I saw a bunch of videos where they exclude "a prime" OR "a product of primes" and state the latter alone.

erdemmemisyazici
Автор

Re-order the Qj so P1 = Q1. Why is this assumption true?

FourAlexia
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but whAT HAPPEN IF THE UNIQUE PRIME FACTORIZATION OF A COMPOSITE NUMBER IS GREATER THAN OTHER LIKE FOR EG. N BE A NATURAL NUMBER CAN BE FACTOR AS WHERE S >R

shalvagang
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Sir please topology's vedio upload in YouTube ... Please

jhunalibehera