What is the greatest perfect square that is a factor of 10780? Here we will show you how to find the greatest perfect square that is a factor of 10780.
The factors of 10780 are all of the integers that can be evenly divided into 10780. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 10780, we will list the factors of 10780, 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 10780: 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 49, 55, 70, 77, 98, 110, 140, 154, 196, 220, 245, 308, 385, 490, 539, 770, 980, 1078, 1540, 2156, 2695, 5390, 10780.
The perfect squares from the factor list: 1, 4, 49, 196
The greatest perfect square from the perfect square list: 196
Therefore, the greatest perfect square that is a factor of 10780 is 196.
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