Is the number 2048 a perfect square? If not, then by which number it must be multiplied so as to get a perfect square.
Asked by Topperlearning User  4th Jun, 2014, 01:23: PM
We find the prime factors of 2048.


2 
2048 
2 
1024 
2 
512 
2 
256 
2 
128 
2 
64 
2 
32 
2 
16 
2 
8 
2 
4 
2 
2 

1 
If 2 gets a pair, then the number will becomes a perfect square. Thus by multiplying the number by 2, we get a perfect square.
2048 x 2 = 4096 is a perfect square.
Hence, the required number which is to be multiplied with 2048 to get a perfect square is 2.
Answered by  4th Jun, 2014, 03:23: PM
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