What is the greatest perfect square that is a factor of 5780? Here we will show you how to find the greatest perfect square that is a factor of 5780.
The factors of 5780 are all of the integers that can be evenly divided into 5780. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 5780, we will list the factors of 5780, 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 5780: 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 289, 340, 578, 1156, 1445, 2890, 5780.
The perfect squares from the factor list: 1, 4, 289, 1156
The greatest perfect square from the perfect square list: 1156
Therefore, the greatest perfect square that is a factor of 5780 is 1156.
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