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Question

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


A

156

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B

242

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C

342

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D

399

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Solution

The correct option is A

156


Explanation for correct option:

The prime factors of 242 are

242=2×11×11

Therefore the divisor of 242 are 2,11,2×11,11×11 that is 2,11,22,121,

Therefor the sum of these number is

=2+11+22+121=156

Hence, option A is correct .


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