What is the greatest perfect square that is a factor of 8064? Here we will show you how to find the greatest perfect square that is a factor of 8064.
The factors of 8064 are all of the integers that can be evenly divided into 8064. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 8064, we will list the factors of 8064, 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 8064: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 64, 72, 84, 96, 112, 126, 128, 144, 168, 192, 224, 252, 288, 336, 384, 448, 504, 576, 672, 896, 1008, 1152, 1344, 2016, 2688, 4032, 8064.
The perfect squares from the factor list: 1, 4, 9, 16, 36, 64, 144, 576
The greatest perfect square from the perfect square list: 576
Therefore, the greatest perfect square that is a factor of 8064 is 576.
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