Computers and Technology

Life with and without the fundamental theorem. (4 marks) (a) prove (without using the fundamental theorem of arithmetic) that if gcd(a, b) = 1 and ac and b c, then ab c. (b) now give a shorter (better? ) proof of this fact which appeals to the fundamental theorem of arithmetic. (hint: interpret the hypothesis and conclusion in terms of prime factorizations.)

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Life with and without the fundamental theorem. (4 marks) (a) prove (without using the fundamental th...

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