All of the perfect square divisors of 33! are also divisors of the largest
perfect square divisor. Since we are looking for divisors that are perfect
squares it will make things easier to rewrite the previous factorization as
powers of squared primes:
(2^{2})^{x} ·
(3^{2})^{y} ·
(5^{2})^{z} · · ·
[