What is the greatest perfect square that is a factor of 540? Here we will show you how to find the greatest perfect square that is a factor of 540.
The factors of 540 are all of the integers that can be evenly divided into 540. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 540, we will list the factors of 540, 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 540: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540.
The perfect squares from the factor list: 1, 4, 9, 36
The greatest perfect square from the perfect square list: 36
Therefore, the greatest perfect square that is a factor of 540 is 36.
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