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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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