What is the greatest perfect square that is a factor of 15625? Here we will show you how to find the greatest perfect square that is a factor of 15625.
The factors of 15625 are all of the integers that can be evenly divided into 15625. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 15625, we will list the factors of 15625, 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 15625: 1, 5, 25, 125, 625, 3125, 15625.
The perfect squares from the factor list: 1, 25, 625, 15625
The greatest perfect square from the perfect square list: 15625
Therefore, the greatest perfect square that is a factor of 15625 is 15625.
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