﻿ Which of the following integers is perfect square?

#### 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 months ago

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 months ago

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