What is the greatest perfect square that is a factor of 11264? Here we will show you how to find the greatest perfect square that is a factor of 11264.
The factors of 11264 are all of the integers that can be evenly divided into 11264. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 11264, we will list the factors of 11264, 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 11264: 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 256, 352, 512, 704, 1024, 1408, 2816, 5632, 11264.
The perfect squares from the factor list: 1, 4, 16, 64, 256, 1024
The greatest perfect square from the perfect square list: 1024
Therefore, the greatest perfect square that is a factor of 11264 is 1024.
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