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    • Question

      Find the Sum of all the even Factors of

      ‘240’
      A 720 Correct Answer Incorrect Answer
      B 840 Correct Answer Incorrect Answer
      C 144 Correct Answer Incorrect Answer
      D 120 Correct Answer Incorrect Answer

      Solution

      Factors of 240 = 2 × 2 × 2 × 2 × 3 × 5 Sum of All factors = (2⁰ + 2¹ + 2² + 2³ + 2⁴) × (3⁰+ 3¹) × (5⁰+ 5¹) Sum of Even Factors = (2¹ + 2² + 2³ + 2⁴) × (3⁰ + 3¹) × (5⁰+ 5¹) = 30 × 4 × 6 = 720

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