1)

Which of the following has most number of divisors ?


A) 99

B) 101

C) 176

D) 182

Answer:

Option C

Explanation:

99 = 1 x 3 x 3 x 11;

101 = 1 x 101;

176 = 1 x 2 x 2 x 2 x 2 x 11;

182 = 1 x 2 x 7 x 13.

So, divisors of 99 arc 1, 3, 9,11, 33 and 99;
divisors of 101 are- 1 and 101;

divisors of 176 are 1, 2, 4, 8, 16, 22, 44, 88 and 176;

divisors of 182 are 1, 2, 7, 13, 14, 26, 91 and 182. Hence, 176 has the most number of divisors.