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    Question

    data-sheets-value="{"1":2,"2":"Find the number of factors of 120?"}" data-sheets-userformat="{"2":769,"3":{"1":0},"11":4,"12":0}">Find the number of factors of 240?
    A 24 Correct Answer Incorrect Answer
    B 28 Correct Answer Incorrect Answer
    C 20 Correct Answer Incorrect Answer
    D 18 Correct Answer Incorrect Answer

    Solution

    The factors of 240 are = 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120 & 240. So total number of factors are 20. Alternate Method: After prime factorization just add 1 in all powers & then multiply them. 240 = 24 `xx` 3 `xx` 5 So the number of factors of 240 are = (4+1) `xx` (1+1) `xx` (1+1) = 5 `xx` 2 `xx` 2 = 20

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