20.Which of the following has most number of divisors?
[A] 99
[C] 176
[B] 101
[D] 182
Answer : [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 are 1, 3, 9, 11, 33 and 99;
|
|
divisors of 101 are 1 and 101;
|
|
divisiors 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.
|
