Which Of The Following Has Most Number Of Divisors?

1.	Which Of The Following Has Most Number Of Divisors?
Answer» 99 = 1 x 3 x 3 x 11 101= 1 x 101 176= 1 x 2X 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 1,101 divisors of 176 are 1, 2, 4, 8, 16, 22, 44, 88, 176 divisors of 182 are 1, 2, 7, 13, 14, 26, 91, 182 Hence , 176 hasthe most number of divisors. 99 = 1 x 3 x 3 x 11 101= 1 x 101 176= 1 x 2x 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 1,101 divisors of 176 are 1, 2, 4, 8, 16, 22, 44, 88, 176 divisors of 182 are 1, 2, 7, 13, 14, 26, 91, 182 Hence , 176 hasthe most number of divisors.

Answer»

99 = 1 x 3 x 3 x 11

101= 1 x 101

176= 1 x 2X 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 1,101

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

divisors of 182 are 1, 2, 7, 13, 14, 26, 91, 182

Hence , 176 hasthe most number of divisors.