Question

Which of the following numbers have most number of divisors?

• A. $176$
• B. $182$
• C. $99$
• D. $101$

Answer 1

The correct option is A $176$

$176=2\times 2\times 2\times 2\times 11$
$182=2\times 7\times 13$
$99=3\times 11\times 3$
$101$ is a prime so has only 1 and itself as factors.
Hence, clearly, $176$ has the greatest number of divisors.