# Easy Number System Solved QuestionAptitude Discussion

 Q. Which of the following has most number of divisors?
 ✖ A. 99 ✖ B. 101 ✔ C. 176 ✖ D. 182

Solution:
Option(C) is correct

Divisors of $99 = 1, 3, 9, 11, 33, 99$
Divisors of $101 = 1,101$
Divisors of $176 = 1, 2, 4, 8, 11, 22, 44, 88, 176$
Divisors of $182 = 1, 2, 7, 13, 14, 26, 91, 182$

Therefore 176 has most number of divisors.

## (10) Comment(s)

()

well...

99=3^2*11,by(p+1)(q+1).. total divisors=(2+1)(1+1)=6

similarly ,101 has 1

,176 has 10

and 182 has 4 divisors

Mahesh
()

find the no of divisors using as below.

1. Prime factorize the no $182=2^1*7^1*13^1$

2. Increase the power of each prime factor by 1 and multiply

i.e power of $2*2*2=6$ divisors

$176=2^4*11^1$

therefore $5*2= 10$ divisors

Avinash Jampala
()

correction: $2*2*2= 8$ divisors

Avinash Jampala
()

Also, 176 as only 9 divisors according to the given solution so how come its 10 divisors  $(5 * 2)$

Kaushik
()

this method is correct 10 divisors. with 16 is also a divisor

Gopal
()

take l.c.m. of no

99-3*3*11

101-1
176-2*2*2*2*11
182-2*7*13

Lohit
()

That would be great.

Ekta Mishra
()

I think lcm method is good

Vinay
()

can you tell me a simpler way to solve the same question.Is there an alternate method where we don't have to write all the divisors.

Shresth
()

Well I tried searching a lot about the same thing i.e. way to solve ths in a simpler way. I guess there is n way out but to solve the questions by finding all the divisors individually

Good thing is it's not that demanding is it?