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