What is the greatest perfect square that is a factor of 1728? Here we will show you how to find the greatest perfect square that is a factor of 1728.
The factors of 1728 are all of the integers that can be evenly divided into 1728. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 1728, we will list the factors of 1728, 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 1728: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 144, 192, 216, 288, 432, 576, 864, 1728.
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 1728 is 576.
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