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5th Class Mathematics Factors and Multiples Question Bank Factors and Multiples

  • question_answer
    Given that \[(p+3)\] is the highest common factor of \[81\] and\[108\], find the value of\[p\].

    A)  \[6\]                            

    B)                     \[12\]               

    C)                     \[9\]                            

    D)                     \[14\]               

    Correct Answer: D

    Solution :

    The factors of\[81:\]\[\mathbf{1},\,\,\mathbf{3},\,\,\mathbf{9},\,\,\mathbf{27},\,\,81\] The factors of\[108:\]\[\mathbf{1},\,\,2,\,\,\mathbf{3},\,\,4,\,\,6,\,\,\mathbf{9}\] \[12,\,\,18,\,\,\mathbf{27},\,\,36,\,\,54,\,\,108\] The highest common factor of \[81\] and \[108\] is\[27\] \[\therefore \]      \[p+3=27\]             \[p=24\]


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