Find the number of divisors of 1080 excluding the throughout divisors, which are perfect squares?please post the answer anon..

1) 29
2) 28
3) 30
4) 31

• 1080= 2^3 *3^3 *5
  total divisors = 4*4*2= 32
  square divisors = (2^0,2^2) (3^0,3^2) (5^0) [note: only these factors give rise to square factors] so 2*2*1=4;
  non square divisors=total divisors-square divisors
  32-4=28.
  
• 11 years agoHelpfull: Yes(0) No(1)
• 1080= 2^3 *3^3 *5
  total divisors = 4*4*2= 32
  square divisors = (2^0,2^2) (3^0,3^2) (5^0) [note: only these factors give rise to square factors] so 2*2*1=4;
  non square divisors=total divisors-square divisors
  32-4=28.
  
• 11 years agoHelpfull: Yes(0) No(1)
• Can you guys please explain ...how you calculated total divisors???
  i.e from where does this 4*4*2 came from???
  please explain
• 8 years agoHelpfull: Yes(0) No(0)