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Q. The sum of all positive divisors of $242$ except $1$ and itself is

KCETKCET 2011Binomial Theorem

Solution:

The number is 242 .
$242=2 \times 11 \times 11 \text { (factors) }$
The number of positive divisors except 1 and itself is $=2,11,22,121$
Sum of these numbers
$=2+ 11 +22 +121=156$