What value of [tex]n[/tex] will make the rational number [tex]-\frac{17}{n}[/tex] an integer?

17 / n is an integer when - 17 is divisible by n => n ∈ { - 17 , + 17 , - 1 , + 1 } .

Answered by crisforp | 2024-06-10

The values of n that will make − n 17 ​ an integer are n = − 17 , − 1 , 1 , and 17 . These values are the divisors of − 17 .
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Answered by crisforp | 2024-10-01