What is the greatest perfect square that is a factor of 6000? Here we will show you how to find the greatest perfect square that is a factor of 6000.
The factors of 6000 are all of the integers that can be evenly divided into 6000. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 6000, we will list the factors of 6000, 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 6000: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 125, 150, 200, 240, 250, 300, 375, 400, 500, 600, 750, 1000, 1200, 1500, 2000, 3000, 6000.
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 6000 is 400.
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