What is the greatest perfect square that is a factor of 19200? Here we will show you how to find the greatest perfect square that is a factor of 19200.
The factors of 19200 are all of the integers that can be evenly divided into 19200. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 19200, we will list the factors of 19200, 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 19200: 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, 256, 300, 320, 384, 400, 480, 600, 640, 768, 800, 960, 1200, 1280, 1600, 1920, 2400, 3200, 3840, 4800, 6400, 9600, 19200.
The perfect squares from the factor list: 1, 4, 16, 25, 64, 100, 256, 400, 1600, 6400
The greatest perfect square from the perfect square list: 6400
Therefore, the greatest perfect square that is a factor of 19200 is 6400.
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