What is the greatest perfect square that is a factor of 7056? Here we will show you how to find the greatest perfect square that is a factor of 7056.
The factors of 7056 are all of the integers that can be evenly divided into 7056. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 7056, we will list the factors of 7056, 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 7056: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 49, 56, 63, 72, 84, 98, 112, 126, 144, 147, 168, 196, 252, 294, 336, 392, 441, 504, 588, 784, 882, 1008, 1176, 1764, 2352, 3528, 7056.
The perfect squares from the factor list: 1, 4, 9, 16, 36, 49, 144, 196, 441, 784, 1764, 7056
The greatest perfect square from the perfect square list: 7056
Therefore, the greatest perfect square that is a factor of 7056 is 7056.
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