What is the factorial of 5 written as 5!?

The factorial of a number, denoted by the exclamation mark, is the product of all positive integers from that number down to 1. For the number 5, the calculation would be as follows:

5! = 5 × 4 × 3 × 2 × 1

Breaking this down step-by-step:

1. Start with 5.

2. Multiply by 4, resulting in 20.

3. Multiply that by 3, resulting in 60.

4. Multiply that by 2, resulting in 120.

5. Finally, multiply by 1, which does not change the value.

Thus, 5! equals 120. Each step is multiplying one integer less than the previous, continuing down to 1, ensuring all integers from 1 to 5 are included in the multiplication. Therefore, the correct value for 5! is 120.