Which is the smallest no divides 2880 and gives a perfect square a 1 b 2 c 5 d 6

2880=144*20(144 is perfect square)
=144*4*5(4 is perfect square)
so smallest number divides 2880 is 5(Option d)
13 years agoHelpfull: Yes(24) No(7)
the fraction of 2880=2*2*2*2*2*2*3*3*5.
so the 2 and 3 are in pair but only 5 is remaining...
so that the answer is 5.
11 years agoHelpfull: Yes(22) No(2)
2880/5=144*4.
both 144 n 4 are perfect squares.
so 5 is the required ans.
13 years agoHelpfull: Yes(4) No(1)
5
quatient will be 576 which is squar of 24
10 years agoHelpfull: Yes(2) No(1)
2880/5 = 576
which is a perfect square.
9 years agoHelpfull: Yes(2) No(0)
as when we check for optn (a)if we see 2880 its not any perfect square.
when we check for optn (b) we get 1440 as the value after dividing but as we see 144 is square of 12 but we have 1440 so its not coorect optn.
when we check for optn (c) we get 576 after dividing by 5 and its perfect square of 24 so the optn [C] is correct
9 years agoHelpfull: Yes(2) No(0)
resolve it into factors
2880 = 2^6 * 3^2 * 5
for any nmber to be a perfect square it's factors must be with even powers
hence if we divide the given number with 5 we will get a perfect square =576
Thus answer is 5.
9 years agoHelpfull: Yes(2) No(1)
2880/5=576
576=24*24
9 years agoHelpfull: Yes(0) No(1)
2880/5=576
24^2=576
9 years agoHelpfull: Yes(0) No(0)
2880/5=576
576=24*24
so, Answer will be 5.
9 years agoHelpfull: Yes(0) No(0)
2^6*3^2*5
so,ans is C
9 years agoHelpfull: Yes(0) No(0)

Which is the smallest no divides 2880 and gives a perfect square?
(a) 1 (b) 2 (c) 5 (d) 6