Skill: Recall related division facts

Explanation and Free Practice Resources

Related division facts are understood as members of the same multiplication–division fact family: from $a \times b=c$ , one can recall $c \div a=b$ and $c \div b=a$ , interpreting division as finding a missing factor in an equal-groups or array relationship. This applies to familiar whole-number facts with products up to 100, excludes division by zero, and does not extend to multi-digit division or generalized algebraic identities.

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Detailed Explanation: Recall related division facts

A division fact is related to a multiplication fact when the same three numbers are used.

If you know:

a \times b=c

then you also know:

c \div a=b \qquad\text{and}\qquad c \div b=a

Think of division as finding a missing factor.

Example: Solve $42 \div 6$ .

Think of a multiplication fact with $42$ as the product and $6$ as one factor:

6 \times 7=42

The missing factor is $7$ , so:

42 \div 6=7

The related fact family is:

6 \times 7=42

7 \times 6=42

42 \div 6=7

42 \div 7=6

So, to solve a division problem, recall the multiplication fact that has the dividend as its product.

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Fact Family - Multiplication - Triangle to Fact

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