What is the greatest perfect square that is a factor of 9675? Here we will show you how to find the greatest perfect square that is a factor of 9675.
The factors of 9675 are all of the integers that can be evenly divided into 9675. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 9675, we will list the factors of 9675, 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 9675: 1, 3, 5, 9, 15, 25, 43, 45, 75, 129, 215, 225, 387, 645, 1075, 1935, 3225, 9675.
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 9675 is 225.
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