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    • Question

      If total number of factors of 2,430 is 'x', then find

      the value of (x - 6)(x + 1).
      A 400 Correct Answer Incorrect Answer
      B 420 Correct Answer Incorrect Answer
      C 450 Correct Answer Incorrect Answer
      D 460 Correct Answer Incorrect Answer

      Solution

      Factors of 2,430 = 2 × 3⁵ × 5
      So, total number of factors = (1 + 1)(5 + 1)(1 + 1) = 2 × 6 × 2 = 24
      Required value = (x - 6)(x + 1) = (24 - 6)(24 + 1) = 18 × 25 = 450

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