the perfect cube of 1152
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33.94 is the perfect cube of 1152
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∛1152 = (2×2×2×2×2×2×2×3×3)−−−−−−−−−−−−−−−−−−−−−−−−−−−√3(2×2×2×2×2×2×2×3×3)3 = 4(2×3×3)−−−−−−−−−√3(2×3×3)3 ∛1331 = (11×11×11)−−−−−−−−−−−−√3(11×11×11)3 ∛2016 = (2×2×2×2×2×3×3×7)−−−−−−−−−−−−−−−−−−−−−−−−√3(2×2×2×2×2×3×3×7)3 = 2 (2×2×3×3×7)−−−−−−−−−−−−−−−√3(2×2×3×3×7)3 ∛739 = no prime factors can be found. From the above results, 1331 has the perfect cube factors. ∴ 1331 is the perfect cube.
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