Greatest perfect square that is a factor of 2016




What is the greatest perfect square that is a factor of 2016? Here we will show you how to find the greatest perfect square that is a factor of 2016.

The factors of 2016 are all of the integers that can be evenly divided into 2016. A perfect square is a product of an integer multiplied by itself.

To find the greatest perfect square that is a factor of 2016, we will list the factors of 2016, 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 2016: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 72, 84, 96, 112, 126, 144, 168, 224, 252, 288, 336, 504, 672, 1008, 2016.

The perfect squares from the factor list: 1, 4, 9, 16, 36, 144

The greatest perfect square from the perfect square list: 144

Therefore, the greatest perfect square that is a factor of 2016 is 144.


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Greatest perfect square that is a factor of 2017
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