What is the greatest perfect square that is a factor of 10368? Here we will show you how to find the greatest perfect square that is a factor of 10368.
The factors of 10368 are all of the integers that can be evenly divided into 10368. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 10368, we will list the factors of 10368, 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 10368: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 128, 144, 162, 192, 216, 288, 324, 384, 432, 576, 648, 864, 1152, 1296, 1728, 2592, 3456, 5184, 10368.
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 10368 is 5184.
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