1. The problem asks to evaluate the product \(\prod_{k=1}^{n} k\), which means multiplying all integers from 1 to \(n\).\n\n2. This product is known as the factorial of \(n\), denoted by \(n!\).\n\n3. By definition, \(n! = 1 \times 2 \times 3 \times \cdots \times n\).\n\n4. For example, if \(n=5\), then \(5! = 1 \times 2 \times 3 \times 4 \times 5 = 120\).\n\n5. Therefore, the product \(\prod_{k=1}^{n} k = n!\).