Question

A supercomputer picks a number from 1 to 1 million if it is known that the number is not a perfect square which one of the following cannot be its number of factors​

Answer 1

Answer:

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Answer 2

Between 1 and 1,000,000 , there are 1000 Perfect Squares and 100 Perfect Cubes.

1000000 = 1000^2 = 100^3

Take any number between 1 and 1000000, it should be of the form -

A^2 and at the same time B^3

i.e. A^2 = B^3

where, A lies between 1 and 1000

B lies between 1 and 100

Now, B^3 will be a Perfect Square only when B itself is a Perfect Square