What is the greatest perfect square that is a factor of 10890? Here we will show you how to find the greatest perfect square that is a factor of 10890.
The factors of 10890 are all of the integers that can be evenly divided into 10890. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 10890, we will list the factors of 10890, 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 10890: 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 121, 165, 198, 242, 330, 363, 495, 605, 726, 990, 1089, 1210, 1815, 2178, 3630, 5445, 10890.
The perfect squares from the factor list: 1, 9, 121, 1089
The greatest perfect square from the perfect square list: 1089
Therefore, the greatest perfect square that is a factor of 10890 is 1089.
Greatest Perfect Square of Factors Calculator
Use the calculator below to find the greatest perfect square of factors for another number.