What is 7! (factorial) equal to?

To find the value of 7 factorial (7!), we need to calculate the product of all positive integers from 1 up to 7. This can be expressed mathematically as:

7! = 7 × 6 × 5 × 4 × 3 × 2 × 1

Calculating this step by step:

1. 7 × 6 = 42

2. 42 × 5 = 210

3. 210 × 4 = 840

4. 840 × 3 = 2520

5. 2520 × 2 = 5040

6. 5040 × 1 = 5040

Thus, 7! equals 5040. This calculation confirms that the correct answer is indeed 5040. It is vital to recognize that factorial values grow rapidly with increasing integers, and it's common for values to be confused if calculations are not systematically addressed.

The other options represent different products from varying combinations of integers, but they do not compute to 7! As demonstrated, careful multiplication of the integers from 1 to 7 leads to the well-established factorial value of 5040.