Polynomials related Questions by Balaji

  • 8August
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    BalajiSenior Member
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    08-08-2014, 11:58 PM Düzenlendi #9
    what is the highest power of 24 that can divide 70! ?



    a. 20



    b. 22



    c. 25



    d. 33





    answer choice b



    solution



    highest power of 24 that divides 70!

    24=2^3*3



    highest power 3 in 70!



    70/3

    =23+ quotients

    =23+7+2+1

    =33



    (2^2*3)^22=2^66*3^22 divides 70!



    24^22 divides 70!


     

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    • Messages In This Thread
    Polynomials related question phase-2 - by Balaji - 08-08-2014, 11:15 PM
    Polynomials related question phase-3 - by Balaji - 08-08-2014, 11:21 PM
    Polynomials related question phase-4 - by Balaji - 08-08-2014, 11:26 PM
    Probability related question phase-1 - by Balaji - 08-08-2014, 11:47 PM
    Polynomials related question phase-8 - by Balaji - 08-08-2014, 11:56 PM
    Number theory related question phase - 5 - by Balaji - 08-08-2014, 11:58 PM