What is the greatest perfect square that is a factor of 9720? Here we will show you how to find the greatest perfect square that is a factor of 9720.
The factors of 9720 are all of the integers that can be evenly divided into 9720. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 9720, we will list the factors of 9720, 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 9720: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 81, 90, 108, 120, 135, 162, 180, 216, 243, 270, 324, 360, 405, 486, 540, 648, 810, 972, 1080, 1215, 1620, 1944, 2430, 3240, 4860, 9720.
The perfect squares from the factor list: 1, 4, 9, 36, 81, 324
The greatest perfect square from the perfect square list: 324
Therefore, the greatest perfect square that is a factor of 9720 is 324.
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