What is the greatest perfect square that is a factor of 5184? Here we will show you how to find the greatest perfect square that is a factor of 5184.
The factors of 5184 are all of the integers that can be evenly divided into 5184. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 5184, we will list the factors of 5184, 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 5184: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 144, 162, 192, 216, 288, 324, 432, 576, 648, 864, 1296, 1728, 2592, 5184.
The perfect squares from the factor list: 1, 4, 9, 16, 36, 64, 81, 144, 324, 576, 1296, 5184
The greatest perfect square from the perfect square list: 5184
Therefore, the greatest perfect square that is a factor of 5184 is 5184.
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