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Question

Let 1440=xy, where x and y are coprime to each other, then the possible pairs (x,y) is

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Solution

1440=25335
Here, total different prime factors are 3
number of ways in which 1440 can be resolved as product of two coprime numbers is 231=4
However, (x,y) can interchange their places.
total possible pairs (x,y) is 8

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