根据图片生成---**Main Title:**
三 倍数与因数 (Three Multiples and Factors)
**Boxed Section Title:**
倍数与因数 (Multiples and Factors)
---
**Section 1: Problem Description and Diagram**
**Question Stem/Scenario:**
运动会上两个班同学分别排出下面两种队形，算一算两班各有多少人。
(At the sports meeting, students from two classes formed the following two formations separately. Calculate how many people are in each class.)
**Chart/Diagram Description:**
* **Type:** Dot diagram / Array representation.
* **Main Elements:** Two distinct groups of dots representing two formations, each enclosed in a cloud-like shape with an accompanying mathematical expression and unit.
* **Formation 1 (Left):**
* **Arrangement:** Dots arranged in 4 rows and 9 columns (or 9 rows and 4 columns, visually 4 rows of 9 dots). Total 36 dots.
* **Annotation:** 9 × 4 = 36 (人) (9 × 4 = 36 (people))
* **Formation 2 (Right):**
* **Arrangement:** Dots arranged in 7 rows and 5 columns (or 5 rows and 7 columns, visually 7 rows of 5 dots). Total 35 dots.
* **Annotation:** 5 × 7 = 35 (人) (5 × 7 = 35 (people))
---
**Section 2: Concept Introduction ("Recognize/Learn")**
**Instruction:**
认一认。 (Recognize/Learn.)
**Explanation Text:**
9 × 4 = 36, 36 是 9 和 4 的倍数，9 和 4 是 36 的因数。
(9 × 4 = 36, 36 is a multiple of 9 and 4, 9 and 4 are factors of 36.)
**Character Dialogues:**
* **Boy (left):**
根据 5 × 7 = 35，你能说出哪个数是哪个数的倍数，哪个数是哪个数的因数吗？
(Based on 5 × 7 = 35, can you tell which number is a multiple of which number, and which number is a factor of which number?)
* **Grandpa (right):**
我们只在自然数（零除外）范围内研究倍数和因数。
(We only study multiples and factors within the range of natural numbers (excluding zero).)
---
**Section 3: Practice Exercises**
**Instruction:**
根据算式说一说哪个数是哪个数的倍数，哪个数是哪个数的因数。
(Based on the expressions, tell which number is a multiple of which number, and which number is a factor of which number.)
**Mathematical Formulas:**
* 25 × 3 = 75
* 20 × 5 = 100
---
**Section 4: Identifying Multiples**
**Question Stem:**
下面哪些数是 7 的倍数？与同伴交流你的想法。
(Which of the following numbers are multiples of 7? Share your thoughts with your partner.)
**Options/Data Points (Numbers in oval bubbles):**
* 7
* 14
* 17
* 25
* 77
**Character Dialogues:**
* **Girl (left):**
14 ÷ 7 = 2, 14 是 7 的 2 倍；
17 ÷ 7 = 2……3,
17 不是……
(14 ÷ 7 = 2, 14 is 2 times 7;
17 ÷ 7 = 2 remainder 3,
17 is not...)
* **Boy (right):**
7 = 7 × 1,
14 = 7 × 2,
77 = 7 × 11,
… (ellipsis)