Find the smallest number which divides 2880 gives perfect square ?

• 2880=2*2*2*2*2*2*3*3*5=2^6*3^2*5
  so if we divide 2880 by 5, then no. will be perfect square
  ans 5
• 10 years agoHelpfull: Yes(69) No(0)
• Ans is 5
  prime factors of 2880=2*2*2*2*2*2*3*3*5
  Except 5 both numbers are in pair.
  verify - 2880/5=576 'square root of 576 is 24
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• ans is 5..
  2880/5= 576
  24*24 =576
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• 2880=144*20=144*4*5
  =>5
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• 2880/5=576
  24*24=576
  
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• ans:5
  2880/5=576 which is a square of 24...
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• for any no to be a perfect square its last digits should be ended up with
  even zeroes
  even ones
  even 4
  even 9
  odd 6 and
  25
  so if we divide the no. with 5 then the last digit of the quotient is single 6 hence the smallest no. is 5
  
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• 4....... as it is the smallest possible digit divisible and perfect square
• 10 years agoHelpfull: Yes(0) No(7)
• 2800= 2^6*3^2*5..hence 5 is the ans.
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• The smallest number is 5
  when 2880 divides by 5 we get quotient as 576
  576 is a perfect square 24^2=576
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• 2880/5=576
  
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• any one ..
  plz give clear explanation..............................
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