What is the greatest perfect square that is a factor of 14400? Here we will show you how to find the greatest perfect square that is a factor of 14400.
The factors of 14400 are all of the integers that can be evenly divided into 14400. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 14400, we will list the factors of 14400, 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 14400: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 32, 36, 40, 45, 48, 50, 60, 64, 72, 75, 80, 90, 96, 100, 120, 144, 150, 160, 180, 192, 200, 225, 240, 288, 300, 320, 360, 400, 450, 480, 576, 600, 720, 800, 900, 960, 1200, 1440, 1600, 1800, 2400, 2880, 3600, 4800, 7200, 14400.
The perfect squares from the factor list: 1, 4, 9, 16, 25, 36, 64, 100, 144, 225, 400, 576, 900, 1600, 3600, 14400
The greatest perfect square from the perfect square list: 14400
Therefore, the greatest perfect square that is a factor of 14400 is 14400.
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