1) One of the perfect square factors is 1.
To find the others, factor 46,656 into 26 x 36.
2) Using just the twos, you can get this set of squares: {4, 16, 64}
3) Using just the threes, you can get this set of squares: {9, 81, 729}
4) Now, you can get another set of squares by choosing one number from the first set and multiplying it by one
number of the second set; a couple of possibilities are 4 x 9 = 36 and 64 x 81 = 5184. [Finish this step.]
Count all the answers from steps 1, 2, 3, and 4.