Worked Example 1
Restate and Solve
Restate 48 ÷ 6 = ? as a missing factor problem, then solve.
- 1Division asks: 6 times what number is 48?
- 2Write it as 6 × ? = 48.
- 36 × 8 = 48, so ? = 8.
Answer: 6 × ? = 48; 48 ÷ 6 = 8
Florida Grade 3 Math · Algebraic Reasoning
MA.3.AR.2.1: Division as a Missing Factor
What this Grade 3 benchmark means, worked examples, common mistakes, and a free printable worksheet.
Created by a Florida mom · Published by Tropical Learning LLC
What Is Benchmark MA.3.AR.2.1?
Every division problem can be rewritten as a multiplication problem with a missing factor. For example, 56 ÷ 7 = ? can be restated as 7 × ? = 56, and since 7 × 8 = 56, the quotient is 8.
The missing factor can be shown with any symbol or a letter. Factors are up to 12.
Official benchmarkRestate a division problem as a missing factor problem using the relationship between multiplication and division.
On the FAST test: part of the Grade 3 reporting category Number Sense and Multiplicative Reasoning, which is about 23–29% of the test.
Worked Examples
Worked Example 2
Using a Letter
Restate 81 ÷ 9 = n as a missing factor problem, then solve.
- 1Write it as 9 × n = 81.
- 29 × 9 = 81, so n = 9.
Answer: 9 × n = 81; n = 9
Common Mistakes to Watch For
Multiplying the total by the divisor
Wrong:35 ÷ 5 = ? becomes 35 × 5 = ?
The total (35) is the product. Write 5 × ? = 35, so ? = 7.
Finding a factor but reporting the wrong one
Wrong:42 ÷ 6 = ?: 6 × 7 = 42, so the answer is 6.
The missing factor is the answer: 6 × ? = 42, so ? = 7 and 42 ÷ 6 = 7.
Helpful Math Tip
When your child is stuck on a division fact, ask, "What times the divisor gives you the total?" Multiplication facts they know become division facts.
Related Grade 3 Skills
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Start Practicing FreeIndependent Educational Platform. FastChomp is published by Tropical Learning LLC and is not affiliated with, sponsored by, or endorsed by the Florida Department of Education. FAST and Star assessment names are referenced for informational purposes only. FastChomp practice questions are original educational materials, not official Florida FAST assessment questions.