What is the greatest perfect square that is a factor of 3675? Here we will show you how to find the greatest perfect square that is a factor of 3675.
The factors of 3675 are all of the integers that can be evenly divided into 3675. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 3675, we will list the factors of 3675, 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 3675: 1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735, 1225, 3675.
The perfect squares from the factor list: 1, 25, 49, 1225
The greatest perfect square from the perfect square list: 1225
Therefore, the greatest perfect square that is a factor of 3675 is 1225.
Greatest Perfect Square of Factors Calculator
Use the calculator below to find the greatest perfect square of factors for another number.