Worksheet Library / Number Sense
Choose Numbers That Divide Evenly
Focus: Finding Factors. Use the worked example and teaching sequence below to explain the reasoning before independent practice.
Use New Numbers to make another set. Choose Worksheet or Answer Key, then use the worksheet’s Print button.
Teaching Notes
Focus: Finding Factors. Use the worked example and teaching sequence below to explain the reasoning before independent practice.
Before You Begin
- Use multiplication facts.
Teaching Steps for Parents and Teachers
- Find whole-number pairs whose product is the target number.
- List both numbers in each pair.
- Arrange the factors in order and remove repeats.
Worked Examples
List the factors of 12.
- 1 × 12 = 12; 2 × 6 = 12; 3 × 4 = 12.
- These pairs give every positive factor.
Answer: 1, 2, 3, 4, 6, 12
Common Mistakes and How to Help
A factor must divide the target without a remainder.
Does every number in your list divide 12 exactly?
Questions to Check Understanding
- Does every number in your list divide 12 exactly?
- Which step explains your answer?
- Can you apply the same reasoning when the numbers change?
Practice Advice
Work through the example together. Ask the learner to explain the first two problems, then try three independently. Review the first incorrect step before assigning more practice.
Next Practice
- Use New Numbers to practice the same skill with different values.
- If the learner needs help, return to the example and model each step before trying again.