How many prime factors are there in the expression(12)^{43 }\times (34)^{48} \times (2)^{57}  ?

  • Option 1)

    282

  • Option 2)

    237

  • Option 3)

    142

  • Option 4)

    250

  • Option 5)

    61

Answers (1)

(12)^{43 }\times (34)^{48} \times (2)^{57}

(2^{2}\times3)^{43}\times(2*17)^{48}\times2^{57}= 2^{191}\times3^{43}\times17^{48}

Number of prime factors= 191+43+48= 282

 

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