What is the greatest perfect square that is a factor of 9600? Here we will show you how to find the greatest perfect square that is a factor of 9600.
The factors of 9600 are all of the integers that can be evenly divided into 9600. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 9600, we will list the factors of 9600, 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 9600: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 128, 150, 160, 192, 200, 240, 300, 320, 384, 400, 480, 600, 640, 800, 960, 1200, 1600, 1920, 2400, 3200, 4800, 9600.
The perfect squares from the factor list: 1, 4, 16, 25, 64, 100, 400, 1600
The greatest perfect square from the perfect square list: 1600
Therefore, the greatest perfect square that is a factor of 9600 is 1600.
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