Question

It is given that $(2^{32} + 1)$ is completely divisible by a whole number $w$. Which of the following numbers is completely divisible by this number $w$?

• A. $(2^{16} + 1)$
• B. $(2^{16} - 1)$
• C. $(7 \times 2^{23})$
• D. $(2^{96} + 1)$

Hint:

Use $a^3+1=(a+1)(a^2-a+1)$ when powers are multiples of 3.

Answer 1

The Correct Option is D