What is the greatest perfect square that is a factor of 3645? Here we will show you how to find the greatest perfect square that is a factor of 3645.
The factors of 3645 are all of the integers that can be evenly divided into 3645. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 3645, we will list the factors of 3645, 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 3645: 1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 729, 1215, 3645.
The perfect squares from the factor list: 1, 9, 81, 729
The greatest perfect square from the perfect square list: 729
Therefore, the greatest perfect square that is a factor of 3645 is 729.
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