Question

find the number of positive divisors of 1080

Answer 1

Solutions 

The divisors of 1080 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 90, 108, 120, 135, 180, 216, 270, 360, 540, and 1080 itself. 

The positive divisors are 2, 4 , 6, 8, 10, 12, 18, 20, 24, 30, 36, 40, 54, 60, 72, 90, 108, 120, 180, 216, 270, 360, 540, and 1080. 

There are 24 positive divisors in total. 

Answer 2

Factorise the number 1080

=We get : 5^1×3^3×2^3

=We should add the powers by 1

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

=2×4×4

=32