Well, darling, the perfect square factor of 12 is 4. You see, 4 times 4 equals 16, which is the closest perfect square without going over 12. So, there you have it, 4 is the perfect square factor you're looking for.
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Yes. The square root of 144 is 12, making 144 a perfect square.
That would be 25 . In fact, 25 is the onlyfactor of 75 that's a perfect square.
100
I suggest you try to split the number up into prime factors. It should then be clear what the largest square factor is - simply look for repeated prime factors.
30 is not a perfect square. Its square root is a fraction and the square root of a perfect square is always an integer.