Relating Division to Finding a Missing Factor
Relating Division to Finding a Missing Factor teaches Grade 3 students that A ÷ B = ? is equivalent to asking B × ? = A. From Eureka Math Grade 3, this connection makes the multiplication table directly useful for solving division problems. To find 36 ÷ 9, ask: what times 9 equals 36? Since 9 × 4 = 36, the answer is 4. Recognizing that every division equation has a related multiplication equation strengthens fact fluency and prepares students for algebraic thinking about inverse operations.
Key Concepts
Solving a division problem, such as $A \div B = ?$, is the same as finding the unknown factor in the related multiplication equation, $B \times ? = A$. The quotient of the division is the unknown factor.
Common Questions
How is division related to multiplication?
Every division problem A ÷ B = ? can be rewritten as B × ? = A. Division finds a missing factor.
How do you use multiplication to solve 36 ÷ 9?
Ask: 9 × ? = 36. Since 9 × 4 = 36, the answer is 4.
How do you solve 42 ÷ 6 by finding a missing factor?
Ask: 6 × ? = 42. Since 6 × 7 = 42, the answer is 7.
Why is understanding this relationship important?
It means students can use their multiplication facts to solve all division problems — they don't need separate division memorization.
What are the related multiplication and division facts called?
A fact family. For example, 3 × 5 = 15, 5 × 3 = 15, 15 ÷ 3 = 5, and 15 ÷ 5 = 3.
What Eureka Math grade introduces division as missing factor?
Grade 3, within the operations and algebraic thinking domain.