So that's possible

Number Theory Level pending

Given that p , q , r p,q,r are distinct integers not equal to 1 1 , and have no other factors than 1 1 and itself. How many triples satisfy

p q = r ? pq = r ?


The answer is 0.

Department 8 by Department 8 , 27, Israel

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1 solution

Swapnil Maiti
Sep 24, 2015

It is given that the three numbers p,q and r are co-prime integers, not equal to one. So, r has no factors, other than r and 1. So, there are no values to satisfy the equation.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

yes.... p q = r pq=r implies that p p and q q are the factors of r r .But this is not true as the only factors of r r are r r and 1 1 .

Anik Mandal - 5 years, 8 months ago

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