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Engineering, 05.11.2019 23:31 mmelody5

Suppose that the prime factorizations of two positive integers x and y are expressed using a common set of primes as follows:

x = p1? 1·p2? 2? pn? n
y = p1? 1·p2? 2? pn? n

(a) what is the prime factorization for x · y?
(b) suppose y | x. what is the prime factorization for x / y? (it is fine to have some prime factors raised to the zero power in your answer.)

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