A Composite number has 343 factors and is divisible by 343. Find the smallest such number.

 

  • Option 1)

     

    7^{212}

     

  • Option 2)

     

    2^{48} x 7^{6}

     

  • Option 3)

     

    42^{6}

     

  • Option 4)

     

    No such number exists

     

  • Option 5)

     

    7^{342}

     

Answers (1)

 The smallest such number is:

    Number= 7^{6}*2^{6}*3^{6}

            42^{6}

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