What is the greatest perfect square that is a factor of 15120? Here we will show you how to find the greatest perfect square that is a factor of 15120.
The factors of 15120 are all of the integers that can be evenly divided into 15120. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 15120, we will list the factors of 15120, 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 15120: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 27, 28, 30, 35, 36, 40, 42, 45, 48, 54, 56, 60, 63, 70, 72, 80, 84, 90, 105, 108, 112, 120, 126, 135, 140, 144, 168, 180, 189, 210, 216, 240, 252, 270, 280, 315, 336, 360, 378, 420, 432, 504, 540, 560, 630, 720, 756, 840, 945, 1008, 1080, 1260, 1512, 1680, 1890, 2160, 2520, 3024, 3780, 5040, 7560, 15120.
The perfect squares from the factor list: 1, 4, 9, 16, 36, 144
The greatest perfect square from the perfect square list: 144
Therefore, the greatest perfect square that is a factor of 15120 is 144.
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