Question

If 7x+1080 is perfectly divisible by x where x is any positive integer greater than 1 then, how many distinct values x can take ?

Answer 1

Step-by-step explanation:

7x+1080 is perfectly divisible by x

(7x+1080)/x

7+(1080/x)

1≤x≤1080

x can be the factors of 1080

1080=2³×3³×5

Number of divisors of 1080

=(3+1)(3+1)(1+1)

=4×4×2

=32

There can be 32 distinct values of x