There are generally two division facts for each multiplication fact (excluding square numbers).
Multiplication and division are inverse operations, meaning they "undo" each other. This relationship forms the basis of fact families. A fact family consists of related multiplication and division equations using the same numbers.
For example, consider the multiplication fact:
3 x 4 = 12
The related division facts are:
- 12 ÷ 3 = 4
- 12 ÷ 4 = 3
Therefore, for the multiplication fact 3 x 4 = 12, there are two corresponding division facts.
Special Case: Square Numbers
When dealing with square numbers (e.g., 5 x 5 = 25), there's only one unique division fact:
- 5 x 5 = 25
- 25 ÷ 5 = 5
In this scenario, the two factors being multiplied are the same, resulting in only one unique division fact.
Summary Table:
| Multiplication Fact Type | Number of Division Facts | Example | Division Facts |
|---|---|---|---|
| Non-Square | 2 | 6 x 7 = 42 | 42 ÷ 6 = 7; 42 ÷ 7 = 6 |
| Square | 1 | 8 x 8 = 64 | 64 ÷ 8 = 8 |
