What is the value of 7! (7 factorial)?

To find the value of 7 factorial, denoted as 7!, you calculate the product of all positive integers from 1 to 7. The calculation is as follows:

7! = 7 × 6 × 5 × 4 × 3 × 2 × 1.

Now, breaking it down step by step:

• 7 × 6 = 42

• 42 × 5 = 210

• 210 × 4 = 840

• 840 × 3 = 2520

• 2520 × 2 = 5040

• 5040 × 1 = 5040

Therefore, the value of 7! is 5040. This means that the correct answer is indeed the option that states 5040. The factorial operation grows quite quickly, and understanding how to compute these products sequentially helps clarify why 5040 is the correct result for 7!.