Question

1296 is a perfect cube or not

Answer 1

Let us first see that 1296 is the Perfect cube or not.  

First break this number into the smaller numbers which do not have any other factors except 1.  

∴ 1296 = 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3  

Since, there is the requirement of the 2.  

∴ 1296 × 2 × 2 × 3 × 3 (or 46656) will equal to 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3

Now, 46656 will be the new number, which can form the perfect cubes.  

Hence, The perfect cube is 2 × 2 × 3 × 3 =  4 × 12 = 36.

Answer 2

Refer to this image

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