The product of an integer a and 120 is a square number. When a is the smallest, what is the square number

The product of an integer a and 120 is a square number. When a is the smallest, what is the square number

120=4×(3×2×5)
If the product of a and 120 is a square
Then the minimum of a is 3 × 2 × 5 = 30, and the square is 4 × 30 & # 178; = 4 × 900 = 3600