What is the greatest perfect square that is a factor of 180? Here we will show you how to find the greatest perfect square that is a factor of 180.
The factors of 180 are all of the integers that can be evenly divided into 180. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 180, we will list the factors of 180, 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 180: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180.
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 180 is 36.
Greatest Perfect Square of Factors Calculator
Use the calculator below to find the greatest perfect square of factors for another number.