What is the greatest perfect square that is a factor of 9800? Here we will show you how to find the greatest perfect square that is a factor of 9800.
The factors of 9800 are all of the integers that can be evenly divided into 9800. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 9800, we will list the factors of 9800, 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 9800: 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 140, 175, 196, 200, 245, 280, 350, 392, 490, 700, 980, 1225, 1400, 1960, 2450, 4900, 9800.
The perfect squares from the factor list: 1, 4, 25, 49, 100, 196, 1225, 4900
The greatest perfect square from the perfect square list: 4900
Therefore, the greatest perfect square that is a factor of 9800 is 4900.
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