The prime factorization of □ is $2^4 \times 5$.
The problem asks us to find the value of an integer represented by the square symbol \(\square\), given its prime factorization. The prime factorization is provided as \(2^4 \times 5\). This means the number is formed by multiplying these specific prime factors.
To find the integer \(\square\), we first evaluate the exponent part: \(2^4\). Since \(2^4 = 2 \times 2 \times 2 \times 2\), calculating this product gives \(2 \times 2 = 4\), \(4 \times 2 = 8\), and \(8 \times 2 = 16\). Thus, \(2^4 = 16\).
Next, we multiply this result by the remaining factor, which is \(5\). The integer \(\square\) is equal to \(16 \times 5\). By performing this multiplication, \(16 \times 5 = 80\).
The integer represented by the square symbol, whose prime factorization is \(2^4 \times 5\), is \(80\). Therefore, the value is \(\boxed{80}\).
In computer science and digital systems, data is often represented in binary. If a system reserves 4 bits to represent a power of 2 and combines it with another factor to define a memory address or a block size, prime factorization helps in understanding the total capacity. For example, if a buffer size is defined as \(2^4 \times 5\) bytes, knowing this equals 80 bytes helps programmers efficiently allocate memory for their applications.