What is the greatest perfect square that is a factor of 10728? Here we will show you how to find the greatest perfect square that is a factor of 10728.
The factors of 10728 are all of the integers that can be evenly divided into 10728. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 10728, we will list the factors of 10728, 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 10728: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 149, 298, 447, 596, 894, 1192, 1341, 1788, 2682, 3576, 5364, 10728.
The perfect squares from the factor list: 1, 4, 9, 36
The greatest perfect square from the perfect square list: 36
Therefore, the greatest perfect square that is a factor of 10728 is 36.
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