Question

Which of the following has most number of divisors?

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

Answer 1

The correct option is C $176$

$99=3^2\cdot 11$
Total divisors $=(2+1)(1+1)=6$
$101={101}^1$
Total divisors $(1+1)=2$
$176=2^4\cdot 11$
Total divisors $=(4+1)(1+1)=10$
$182=2^1\cdot {91}^1$
Total divisors $=(1+1)(1+1)=4$
Hence, $176$ is the answer