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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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Q: What is the smallest number that divides 61440 to give a perfect square?
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