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Which of the following has the most number of divisors?

Correct Answer: 176

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, .99


Divisors of 101 are 1 and 101


Divisors of 176 are 1, 2, 4, 8, 11, 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.


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