What is the greatest perfect square that is a factor of 13851? Here we will show you how to find the greatest perfect square that is a factor of 13851.
The factors of 13851 are all of the integers that can be evenly divided into 13851. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 13851, we will list the factors of 13851, 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 13851: 1, 3, 9, 19, 27, 57, 81, 171, 243, 513, 729, 1539, 4617, 13851.
The perfect squares from the factor list: 1, 9, 81, 729
The greatest perfect square from the perfect square list: 729
Therefore, the greatest perfect square that is a factor of 13851 is 729.
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