The prime factors of 61440 are, 212 x 3 x 5.
As a square number must possess prime factors with even numbered exponents then division by 15 will leave 212 which is (26)².
Thus, 61440 ÷ 15 = 4096 = 64²
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The smallest integer is 11 but there is no smallest number! 0.11 is a smaller number and will give a perfect square. 0.0011 is smaller still, and 0.000011 even smaller. That sequence is endless!
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sqrt(2493) = 49.93 So the largest perfect square smaller than 2493 is 492 = 2401 Therefore, the smallest number to be subtracted is 2493 - 2401 = 92