What is the greatest perfect square that is a factor of 3136? Here we will show you how to find the greatest perfect square that is a factor of 3136.
The factors of 3136 are all of the integers that can be evenly divided into 3136. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 3136, we will list the factors of 3136, 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 3136: 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 196, 224, 392, 448, 784, 1568, 3136.
The perfect squares from the factor list: 1, 4, 16, 49, 64, 196, 784, 3136
The greatest perfect square from the perfect square list: 3136
Therefore, the greatest perfect square that is a factor of 3136 is 3136.
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