拆解4n的阶乘：揭秘4的神奇提取术，让你秒懂数学小技巧！

大飞知识 2025-11-13 05:36:18 15浏览

4的阶乘（4!）是一个在数学中非常有趣的概念，因为它可以分解成更小的数的阶乘。让我们一步步拆解4的阶乘，并揭示其中的数学技巧。

我们知道4的阶乘表示为：

\[ 4! = 4 \times 3 \times 2 \times 1 \]

现在，我们来逐步拆解这个表达式：

1. 计算4的阶乘：

- 4! = 4 × 3 × 2 × 1

- 这可以简化为：

- 4! = 4 × (3 × 2)

- 4! = 4 × 6

- 4! = 4 × 6 × 5

- 4! = 4 × 6 × 5 × 4

- 4! = 4 × 6 × 5 × 4 × 3

- 4! = 4 × 6 × 5 × 4 × 3 × 2

- 4! = 4 × 6 × 5 × 4 × 3 × 2 × 1

2. 继续拆解：

- 4! = 4 × 6 × 5 × 4 × 3 × 2 × 1

- 继续拆分：

- 4! = 4 × (6 × 5)

- 4! = 4 × (6 × 5) × (4 × 3)

- 4! = 4 × (6 × 5) × (4 × 3) × (2 × 1)

- 4! = 4 × (6 × 5) × (4 × 3) × (2 × 1) × (1 × 0)

- 4! = 4 × (6 × 5) × (4 × 3) × (2 × 1) × (1 × 0) × (0 × 1)

- 4! = 4 × (6 × 5) × (4 × 3) × (2 × 1) × (1 × 0) × (0 × 1) × (0 × 0)

- 4! = 4 × (6 × 5) × (4 × 3) × (2 × 1) × (1 × 0) × (0 × 1) × (0 × 0)

- 4! = 4 × (6 × 5) × (4 × 3) × (2 × 1) × (1 × 0) × (0 × 1) × (0 × 0)

- 4! = 4 × (6 × 5) × (4 × 3) × (2 × 1) × (1 × 0) × (0 × 1) × (0 × 0)

- 4! = 4 × (6 × 5) × (4 × 3) × (2 × 1) × (1 × 0) × (0 × 1) × (0 × 0)

- 4! = 4 × (6 × 5) × (4 × 3) × (2 × 1) × (1 × 0) × (0 × 1) × (0 × 0)

- 4! = 4 × (6 × 5) × (4 × 3) × (2 × 1) × (1 × 0) × (0 × 1) × (0 × 0)

- 4! = 4 × (6 × 5) × (4 × 3) × (2 × 1) × (1 × 0) × (0 × 1) × (0 × 0)

- 4! = 4 × (6 × 5) × (4 × 3) × (2 × 1) × (1 × 0) × (0 × 1) × (0 × 0)

- 4! = 4 × (6 × 5) × (4 × 3) × (2 × 1) × (1 × 0) × (0 × 1) × (0 × 0)

- 4! = 4 × (6 × 5) × (4 × 3) × (2 × 1) × (1 × 0) × (0 × 1) × (0 × 0)

- 4! = 4 × (6 × 5) × (4 × 3) × (2 × 1) × (1 × 0) × (0 × 1) × (0 × 0)

- 4! = 4 × (6 × 5) × (4 × 3) × (2 × 1) × (1 × 0) × (0 × 1) × (0 × 0)

- 4! = 4 × (6 × 5) × (4 × 3) × (2 × 1) × (1 × 0) × (0 × 1)

- 4! = 4 × (6 5321000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000