The product of 2205 times a natural number a is the square of an integer to find the smallest a and the integer

The product of 2205 times a natural number a is the square of an integer to find the smallest a and the integer

2205=5×3×3×7×7
So we can see that the smallest a = 5
That is, 2205 × 5 = 5 × 5 × 3 × 3 × 7 × 7 = (3 × 5 × 7) ^ 2 = 11025