What is the greatest perfect square that is a factor of 9900? Here we will show you how to find the greatest perfect square that is a factor of 9900.
The factors of 9900 are all of the integers that can be evenly divided into 9900. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 9900, we will list the factors of 9900, 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 9900: 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 25, 30, 33, 36, 44, 45, 50, 55, 60, 66, 75, 90, 99, 100, 110, 132, 150, 165, 180, 198, 220, 225, 275, 300, 330, 396, 450, 495, 550, 660, 825, 900, 990, 1100, 1650, 1980, 2475, 3300, 4950, 9900.
The perfect squares from the factor list: 1, 4, 9, 25, 36, 100, 225, 900
The greatest perfect square from the perfect square list: 900
Therefore, the greatest perfect square that is a factor of 9900 is 900.
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