Table illustrating the relationship between multiplication and division problems, with missing factors in multiplication and corresponding division equations.

You've uploaded a worksheet titled “Missing Factor Multiplication Problems”, which asks you to find the missing factor in each multiplication equation, and then write the related division problem (since multiplication and division are inverse operations).

Let’s solve each row step by step.

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🔢 General Rule:

If `a × b = c`, then:
- The missing factor can be found by `c ÷ a = b` or `c ÷ b = a`
- The related division problem is `c ÷ a = b` or `c ÷ b = a`

Also remember:
- Positive × Positive = Positive
- Negative × Positive = Negative
- Positive × Negative = Negative
- Negative × Negative = Positive

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## ✔ Row 1:
Multiplication: `3 × ___ = 12`
→ Missing factor: `12 ÷ 3 = 4`
Related Division: `12 ÷ 3 = 4`

✔ Answer: 4

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## ✔ Row 2:
Multiplication: `___ × 6 = 42`
→ Missing factor: `42 ÷ 6 = 7`
Related Division: `42 ÷ 6 = 7`

✔ Answer: 7

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## ✔ Row 3:
Multiplication: `-9 × ___ = -72`
→ Missing factor: `-72 ÷ (-9) = 8` (negative ÷ negative = positive)
Related Division: `-72 ÷ -9 = 8`

✔ Answer: 8

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## ✔ Row 4:
Multiplication: `-7 × ___ = 56`
→ Missing factor: `56 ÷ (-7) = -8` (positive ÷ negative = negative)
Related Division: `56 ÷ -7 = -8`

✔ Answer: -8

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## ✔ Row 5:
Multiplication: `___ × -3 = 15`
→ Missing factor: `15 ÷ (-3) = -5` (positive ÷ negative = negative)
Related Division: `15 ÷ -3 = -5`

✔ Answer: -5

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## ✔ Row 6:
Multiplication: `___ × 4 = -48`
→ Missing factor: `-48 ÷ 4 = -12` (negative ÷ positive = negative)
Related Division: `-48 ÷ 4 = -12`

✔ Answer: -12

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## ✔ Row 7:
Multiplication: `-9 × ___ = -36`
→ Missing factor: `-36 ÷ (-9) = 4` (negative ÷ negative = positive)
Related Division: `___ ÷ -9 = 4` → This means: `? = 4 × (-9) = -36`, so the dividend is -36

✔ Missing factor: 4
✔ Related division: -36 ÷ -9 = 4

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## ✔ Row 8:
Multiplication: `___ × -8 = 88`
→ Missing factor: `88 ÷ (-8) = -11` (positive ÷ negative = negative)
Related Division: `88 ÷ -8 = -11`

✔ Answer: -11

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## 📝 Final Answers (Filled Table):

| Missing Factor Multiplication Problems | can be thought of as … | Related Division Problems |
|----------------------------------------|-------------------------|----------------------------|
| 1. 3 × 4 = 12 | ←→ | 12 ÷ 3 = 4 |
| 2. 7 × 6 = 42 | ←→ | 42 ÷ 6 = 7 |
| 3. -9 × 8 = -72 | ←→ | -72 ÷ -9 = 8 |
| 4. -7 × -8 = 56 | ←→ | 56 ÷ -7 = -8 |
| 5. -5 × -3 = 15 | ←→ | 15 ÷ -3 = -5 |
| 6. -12 × 4 = -48 | ←→ | -48 ÷ 4 = -12 |
| 7. -9 × 4 = -36 | ←→ | -36 ÷ -9 = 4 |
| 8. -11 × -8 = 88 | ←→ | 88 ÷ -8 = -11 |

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## 💡 Explanation Summary:

This worksheet reinforces the inverse relationship between multiplication and division. To find a missing factor, you divide the product by the known factor.

Also, it practices integer multiplication/division rules:
- Same signs → positive result
- Different signs → negative result

Great for building fluency with integers and understanding how operations relate!

Let me know if you’d like a printable version or more practice problems! 😊