Skill: Check multiplication with division

Explanation and Free Practice Resources

The inverse relationship between multiplication and division allows a product to be checked by dividing it by either known factor: if a×b=ca \times b = c, then c÷a=bc \div a = b and c÷b=ac \div b = a. This connection is represented by related fact families and arrays of equal groups, reinforces that division is not commutative, and applies to whole-number facts with products up to 100; multi-digit algorithms, remainders, and generalized algebraic verification are not included.

Detailed Explanation: Check multiplication with division

To check a multiplication fact, use division. Division can “undo” multiplication.

If a×b=ca \times b = c, then you can check it by finding either:

  • c÷a=bc \div a = b
  • c÷b=ac \div b = a

Example: Check whether 6×7=426 \times 7 = 42.

  1. Start with the product, 4242.
  2. Divide by one of the known factors, such as 66:
42÷6=742 \div 6 = 7
  1. The answer is the other factor, 77. So the multiplication fact is correct:
6×7=426 \times 7 = 42

You could also check it by dividing by 77:

42÷7=642 \div 7 = 6

Remember that the order matters in division: 42÷642 \div 6 is not the same as 6÷426 \div 42.

Learn by doing: Check multiplication with division

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Fact Family - Multiplication - Triangle to Fact


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