What is the greatest perfect square that is a factor of 3420? Here we will show you how to find the greatest perfect square that is a factor of 3420.
The factors of 3420 are all of the integers that can be evenly divided into 3420. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 3420, we will list the factors of 3420, 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 3420: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 19, 20, 30, 36, 38, 45, 57, 60, 76, 90, 95, 114, 171, 180, 190, 228, 285, 342, 380, 570, 684, 855, 1140, 1710, 3420.
The perfect squares from the factor list: 1, 4, 9, 36
The greatest perfect square from the perfect square list: 36
Therefore, the greatest perfect square that is a factor of 3420 is 36.
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