Question

If $n=3^8-2^8$ which of the following is NOT a factor of n?

• A. $97$
• B. $65$
• C. $35$
• D. $13$
• E. $5$

Answer 1

The correct option is C $35$

$n=3^8-2^8={{(3}^4)}^2-{{(2}^4)}^2={81}^2-{16}^2=(81+16)(81-16)=97\times 65$

So it is clear that $35$ is not the factor of $65\times 97$

So correct answer will be option C