number of factor of A,B,C,D are 4,5,6,7 respectively. then which of the following are perfect squares
Answers
B & D are perfect Squares as they have odd number of factors
Step-by-step explanation:
number of factor of A,B,C,D are 4,5,6,7 respectively
All perfect Square numbers have odd number of factors
B has 5 factors - odd number of factors
hence B is a perfect square
D had 7 Factors - odd number of Factors
Hence D is a perfect Square
Examples :
1 is perfect square - Factor = 1 number of factors = 1 ( odd number)
4 is perfect square Factors = 1 , 2 , 4 number of factors =3 ( odd number)
9 is perfect square Factors = 1 , 3 , 9 number of factors =3 ( odd number)
16 is perfect square Factors = 1 ,2 , 4 , 8 ,16 number of factors =5 ( odd number)
non perfect Squares
6 Factors = 1 , 2 , 3 , 6 number of factors = 4 ( even)
86 Factors = 1 , 2 , 4 , 8 number of factors = 4 ( even)
12 Factors = 1 , 2 , 3 , 4 ,6 , 12 number of factors = 6 ( even)
Hence B & D are perfect Squares as they have odd number of factors
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