What is the greatest perfect square that is a factor of 6750? Here we will show you how to find the greatest perfect square that is a factor of 6750.
The factors of 6750 are all of the integers that can be evenly divided into 6750. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 6750, we will list the factors of 6750, 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 6750: 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 125, 135, 150, 225, 250, 270, 375, 450, 675, 750, 1125, 1350, 2250, 3375, 6750.
The perfect squares from the factor list: 1, 9, 25, 225
The greatest perfect square from the perfect square list: 225
Therefore, the greatest perfect square that is a factor of 6750 is 225.
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