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      Question

      How many factors of 72000 are divisible by 36 but not

      72?
      A 6 Correct Answer Incorrect Answer
      B 8 Correct Answer Incorrect Answer
      C 4 Correct Answer Incorrect Answer
      D 10 Correct Answer Incorrect Answer

      Solution

      72000 = 26┬аx 32 x 53┬а= 36 x (24┬аx 53) So, number of factors divisible by 36 = (4 + 1) x (3 + 1) = 20 Also, 72000 = 72 x (23┬аx 53) So, number of factors divisible by 72 = (3 + 1) x (3 + 1) = 16 Required number of factors = 20 - 16 = 4

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