Multiple Choice Question (MCQ)

Which of the following integers is perfect square?

  1. ×

    1087

  2. ×

    24653

  3. ×

    88888

  4. ×

    101010

  5. None of these is perfect square

Collected in the board: Square of numbers

Steven Zheng posted 4 hours ago

Answer

  1. In summary, none these numbers is perfect square

  2. The ending digit of a perfect square is among 0, 1, 4, 5, 6 or 9.

    The last digit of 1087 is 7. Therefore, it's not a perfect square.

  3. 24653

    3 is not any of the ending digit of a perfect square, which is not one of 0, 1, 4, 5, 6 or 9.

    Therefore, it's not a perfect square.

  4. 88888

    8 is not any of the ending digit of a perfect square, which is not one of 0, 1, 4, 5, 6 or 9.

    Therefore, it's not a perfect square.

  5. 101010

    0 is one of the ending digit of a perfect square.

    Factorizing the number yields

    101010

    = 10\times 10101

    = 10\times 3\times 3367

    = 10\times 3\times 7\times13\times37

    It shows 101010 is not a perfect square.

Steven Zheng posted 4 hours ago

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