What is the greatest perfect square that is a factor of 8192? Here we will show you how to find the greatest perfect square that is a factor of 8192.
The factors of 8192 are all of the integers that can be evenly divided into 8192. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 8192, we will list the factors of 8192, 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 8192: 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192.
The perfect squares from the factor list: 1, 4, 16, 64, 256, 1024, 4096
The greatest perfect square from the perfect square list: 4096
Therefore, the greatest perfect square that is a factor of 8192 is 4096.
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