How to Find 5 Factorial

The correct answer is: $120$

Explanation

Factorial means multiplying a positive integer by every positive integer below it down to 1. So 5 factorial (written $5!$) multiplies 5, 4, 3, 2, and 1 together.

Steps:

1. Definition: $$5! = 5 \times 4 \times 3 \times 2 \times 1$$
2. Multiply stepwise:

$$5 \times 4 = 20$$
$$20 \times 3 = 60$$
$$60 \times 2 = 120$$
$$120 \times 1 = 120$$

1. Final result: $$5! = 120$$

Note: Factorial has the recursive property $n! = n \times (n-1)!$ and by convention $0! = 1$. Factorials count permutations: $5!$ is the number of ways to order 5 distinct items (120 ways).