The factorial of 8, denoted as \( 8! \), is the product of all positive integers from 1 to 8:

\[
8! = 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 40,320
\]

So, \( 8! = 40,320 \).

Would you like further details on factorials or any other questions?

Here are 5 related questions to explore:
1. What is the value of \( 10! \)?
2. How can factorials be used in permutations and combinations?
3. What is the factorial of zero, \( 0! \), and why?
4. How would you simplify \( 8! \div 6! \)?
5. Can you express factorials in terms of recursive functions?

**Tip:** Factorials grow very quickly! Even relatively small numbers like 20 have huge factorials.

Learn how to simplify 8! (factorial of 8) with a step-by-step explanation. This problem involves calculating the product of all positive integers from 1 to 8, leading to a result of 40,320. Suitable for students in Grades 8-10 exploring factorials and number theory.

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