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Recall related division facts

Related division facts are understood as members of the same multiplication–division fact family: from a×b=ca \times b=c, one can recall c÷a=bc \div a=b and c÷b=ac \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.

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×b=ca \times b=c

then you also know:

c÷a=bandc÷b=ac \div a=b \qquad\text{and}\qquad c \div b=a

Think of division as finding a missing factor.

Example: Solve 42÷642 \div 6.

  1. Think of a multiplication fact with 4242 as the product and 66 as one factor:

6×7=426 \times 7=42
  1. The missing factor is 77, so:

42÷6=742 \div 6=7
  1. The related fact family is:

6×7=426 \times 7=42 7×6=427 \times 6=42 42÷6=742 \div 6=7 42÷7=642 \div 7=6

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

Learn by doing: Recall related division facts

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Fact Family - Multiplication - Triangle to Fact


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