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CDS 2026 · PYQ · Number System / Divisors · easy

What is the sum of all the divisors of 256?

  1. A.511✓ Correct
  2. B.510
  3. C.256
  4. D.255

Explanation

256 = 2⁸. Sum of divisors of 2ⁿ = 2ⁿ⁺¹ - 1 = 1 + 2 + 4 + ... + 2ⁿ. For n = 8: sum = 2⁹ - 1 = 512 - 1 = 511.
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