What is the greatest perfect square that is a factor of 289? Here we will show you how to find the greatest perfect square that is a factor of 289.
The factors of 289 are all of the integers that can be evenly divided into 289. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 289, we will list the factors of 289, 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 289: 1, 17, 289.
The perfect squares from the factor list: 1, 289
The greatest perfect square from the perfect square list: 289
Therefore, the greatest perfect square that is a factor of 289 is 289.
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