What is the greatest perfect square that is a factor of 10752? Here we will show you how to find the greatest perfect square that is a factor of 10752.
The factors of 10752 are all of the integers that can be evenly divided into 10752. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 10752, we will list the factors of 10752, then list the perfect squares from the list of factors, and finally, we will pick the greatest perfect square from the list of perfect squares:
The factors of 10752: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 256, 336, 384, 448, 512, 672, 768, 896, 1344, 1536, 1792, 2688, 3584, 5376, 10752.
The perfect squares from the factor list: 1, 4, 16, 64, 256
The greatest perfect square from the perfect square list: 256
Therefore, the greatest perfect square that is a factor of 10752 is 256.
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