What is the greatest perfect square that is a factor of 13920? Here we will show you how to find the greatest perfect square that is a factor of 13920.
The factors of 13920 are all of the integers that can be evenly divided into 13920. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 13920, we will list the factors of 13920, 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 13920: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 29, 30, 32, 40, 48, 58, 60, 80, 87, 96, 116, 120, 145, 160, 174, 232, 240, 290, 348, 435, 464, 480, 580, 696, 870, 928, 1160, 1392, 1740, 2320, 2784, 3480, 4640, 6960, 13920.
The perfect squares from the factor list: 1, 4, 16
The greatest perfect square from the perfect square list: 16
Therefore, the greatest perfect square that is a factor of 13920 is 16.
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