Each divisor corresponds to a perfect square divisor $s^2$, so the number of such $s$ (i.e., integer side lengths of square grids dividing the area) is equal to the number of positive divisors of $2025$, which is $15$. However, each divisor $d$ of $2025$ corresponds to $s = \sqrt{d}$, but only those $d$ that are perfect squares yield integer $s$. Since $2025 = 45^2$, the number of square divisors equals the number of perfect square divisors.

Tue, 05 May 2026 19:23:15 +0000

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