Question

Define Euclid,s division lemma and fundamental theorem of arthmetic

Answer 1

Euclids division lemma:given two positive integers a and b ,there exists a unique pair of integers q and r satisfying a=bq+r,where 0≤r less than b.

Fundamental theorem:every composite number can be expressed as the product of primes,and this factorization is unique,apart from the order in which the prime factors occur.

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