The product of all the factors of N = 12^{3} \times 35^{5}  is

  • Option 1)

    (26 x 33 x 55 x 75)1008  

  • Option 2)

    (26 x 33 x 55 x 75)1050  

  • Option 3)

    (26 x 33 x 55 x 75)1000

  • Option 4)

    (26 x 33 x 55 x 75)504

  • Option 5)

    (26 x 33 x 55 x 75)508

Answers (1)

          12^{2}*35^{5}= 2^{6}*3^{3}*5^{5}*7^{5}

Total number of factors= 7*4*6*6=1008

Multiple of factors= (2^{6}*3^{3}*5^{5}*7^{5})^{1008/2}

            (2^{6}*3^{3}*5^{5}*7^{5})^{504}

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