What is the greatest perfect square that is a factor of 10580? Here we will show you how to find the greatest perfect square that is a factor of 10580.
The factors of 10580 are all of the integers that can be evenly divided into 10580. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 10580, we will list the factors of 10580, 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 10580: 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460, 529, 1058, 2116, 2645, 5290, 10580.
The perfect squares from the factor list: 1, 4, 529, 2116
The greatest perfect square from the perfect square list: 2116
Therefore, the greatest perfect square that is a factor of 10580 is 2116.
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