How many factors of 1440 are perfect squares?
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1440 = 2×2×2×2×2×3×3×5
perfect square factors are:
2×2 = 4
3×3 = 9
2×2×3×3 = 36
2×2×2×2 = 16
2×2×2×2×3×3 = 144
Total= 6
perfect square factors are:
2×2 = 4
3×3 = 9
2×2×3×3 = 36
2×2×2×2 = 16
2×2×2×2×3×3 = 144
Total= 6
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