What is the greatest perfect square that is a factor of 10872? Here we will show you how to find the greatest perfect square that is a factor of 10872.
The factors of 10872 are all of the integers that can be evenly divided into 10872. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 10872, we will list the factors of 10872, 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 10872: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 151, 302, 453, 604, 906, 1208, 1359, 1812, 2718, 3624, 5436, 10872.
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 10872 is 36.
Greatest Perfect Square of Factors Calculator
Use the calculator below to find the greatest perfect square of factors for another number.