Question

How many of the factors of 729 are perfect square?​

Answer 1

Given : 729  & its factors

To find : How many of the factors are perfect square

Solution:

729  = 3  * 3  *  3  * 3  *  3  *  3

=> 729 = 3⁶

Hence there will be total 7 factors

729  = 1 * 729

729 = 3 * 243

729 = 9 * 81

729 = 27 * 27

1 , 3 ,  9 , 27  , 81 , 243 , 729  are factors

1 = 1²

9 = 3²

81 = 9²

729 = 27²

4 factors of 729 are perfect Square  

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