Question

Find the least number of six digits which is a perfect square.

Answer 1

The least number with six digits is 100000. To find the least square number with six digits, we must find the smallest number that must be added to 100000 in order to make a perfect square. For that, we have to find the square root of 100000 by the long division method as follows:

100000 is 489 (4389 − 3900) less than 317². Hence, to be a perfect square, 489 should be added to 100000.
100000 + 489 = 100489
Hence, the least number of six digits that is a perfect square is 100489.