What is the greatest perfect square that is a factor of 10192? Here we will show you how to find the greatest perfect square that is a factor of 10192.
The factors of 10192 are all of the integers that can be evenly divided into 10192. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 10192, we will list the factors of 10192, 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 10192: 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 49, 52, 56, 91, 98, 104, 112, 182, 196, 208, 364, 392, 637, 728, 784, 1274, 1456, 2548, 5096, 10192.
The perfect squares from the factor list: 1, 4, 16, 49, 196, 784
The greatest perfect square from the perfect square list: 784
Therefore, the greatest perfect square that is a factor of 10192 is 784.
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