Which of the following has most number of divisors?

A. 99

B. 101

C. 176

D. 182

Answer: Option C

Solution(By Examveda Team)

99 = 1 × 3 × 3 × 11
101 = 1 × 101
176 = 1 × 2 × 2 × 2 × 2 × 11
182 = 1 × 2 × 7 × 13
So, divisor of 99 are 1, 3, 9, 11, 33 and 99
Divisor of 101 are 1 and 101
Divisor of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88 and 176
Divisor of 182 are 1, 2, 7, 13, 14, 26, 91 and 182
Hence, 176 has the most number of divisors.