Question

The number of divisors of $2156$ which are even but not divisible by $11$ is

• A. $6$
• B. $9$
• C. $18$
• D. None of the above

Answer 1

Answer: (A)

$6$

Given number $=2156$

The prime factorization given number is $2^2\times 7^2\times 11,$ so there are $18$ factors in all which are given as

$1,2,4,7,11,14,22,28,44,49,77,98,154,196,308,539,1078,2156$

Now we have to find no. of divisions which are even but not divisible by $11$, which are given below

$2,4,14,28,98,196$

Thus, we have $6$ numbers.