Which is the smallest number divides 2880 and gives a perfect square?

a) 1
b) 2
c) 5
d)

• a)2880/1 =2880(not perfect square)
  b)2880/2=1440(not perfect square)
  c)2880/5=576(perfect square because √576=24)
  ans= c).
• 9 years agoHelpfull: Yes(6) No(1)
• c ,2880/5=576 which is the square of 24
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• answer is c) 5
  because when we divide the number 2880 by 5 it gives 576 and this is the perfect square of 24.
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• 2880/5=576
  √576=24
  The answer is 24
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• ans is 5
  2880=(2*2*5*12*12)/5
  =4*144
  which is perfect square
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• here only 5 is the smallest no which when divided by 2880 goves a value i.e 576 which is a perfect square of 24
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• 2880/5=576;
  and 24*24=576;
  therefore ans is 5.
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• 2880/5=576=(24)^2
  so the ans is 5
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• sol- 5
  since its gives a perfect square number 24 as quiotent
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• 2880=(8*8)*(3*3)*5
  therefore option c) 5 is answer
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• 2880/5=576= 24^2
  so the answer is 5
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• 2880/5=576
  root of (576)=24
  hence 5
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• Checking options one by one we get, 2880/1=2880
  2880/2=1440
  2880/5=576
  (576=24*24,which makes 576 a perfect square of 24)
  ans=5
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• if 2880 is divided by 5 it comes 576 which is the perfect square of 24
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• 2880/5=576
  576 is 24^2
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• ans. c) 5.
  2880/5 =576.
  576 is a perfect square of 24.
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• 2880=16*4*9*5
  right answer id c)5
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• when 2880 is divided by 5, it gives 2880/5= 576= (24^2). which is a perfect square.
  ans:5
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• 2880/2=1440=>sqrt(1440)=not a perfect square
  2880/5=576=it is perfect square of 24
  so ans: option C
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• 2880/5=576 which is a perfect square so option 3 is right
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• option verification
  2880/5
  576 perfect square of 24
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• 2880= 144*4*5 if we divide by 5 wee will get 144 * 4 which is a perfect square
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• 2880/5=576 and sqrt 576 is 24
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• C is the correct option
  
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• c is the correct ans bcoz 2880/5=576
  sqrt of 576 gives a perfect square
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• 5...do factor and check....5 is not having any pair
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• ans:c
  after prime factorization we get 2*2*2*2*2*2*3*3*5
  to make it a perfect square we need to multiply or divide it with 5
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• a)2880/1 =2880(not perfect square)
  b)2880/2=1440(not perfect square)
  c)2880/5=576(perfect square because √576=24)
  ans= c).
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• 5 ....when 2880 is divided by 5 it gives 576 as quotient which is perfect square
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• 2880/5=576=24*24
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• answer will be 5.because 2880/5=576 .it is a perfect square of 5.
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• c) because on dividing 2880 by 5 we get 576 which is the square of 24
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• c
  2880/5=576
  it is a perfect square of 24
  
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