The factorial of 7, denoted as \( 7! \), is the product of all positive integers up to 7:

\[
7! = 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 5040
\]

So, \( 7! = 5040 \).

Would you like to know more details about factorials or have any questions?

1. What is the factorial of any given number?
2. How are factorials used in permutations and combinations?
3. Can factorials be applied to fractions or decimals?
4. What are some real-life applications of factorials?
5. How does Stirling's approximation help estimate large factorials?

**Tip:** Factorials grow very quickly; even for small numbers, they become large quickly.

Explore the calculation of 7 factorial (7!) with a detailed step-by-step breakdown, showing how 7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040. This problem introduces factorial concepts, essential for understanding permutations and combinations. Suitable for students in Grades 6-8.

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