Question

Suppose b is a positive integer such that is also an integer. What are the possible values of b?

Answer 1

For to be an integer, its denominator should be a factor of 16 and should be less than its numerator.

Thus, we get . Since the square of a number cannot be 2 or 8, we get b² = 1, 4 or 16

Thus, b can take values 1, 2 or 4.