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KCET · Maths · Binomial Theorem

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

  1. A 156
  2. B 242
  3. C 342
  4. D 399
Verified Solution

Answer & Solution

Correct Answer

(A) 156

Step-by-step Solution

Detailed explanation

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