(232+1) is exactly divisible by a certain number, then which of the following is also divisible by the same number

(2³²+1) is exactly divisible by a certain number, then which of the following is also divisible by the same number

a) 2⁹⁶+1

b) 2¹⁶+1

c) 2¹⁶-1

d) 7 ×2³²

Sol:

2⁹⁶ + 1

= (2³²) + (1)³ = (2³² + 1) (2⁶⁴ + 1 + 2³²)