Grade 5/Factoring
Factors of Numbers up to 50 (1140)
List all factors for numbers up to 50.
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Quick Tip
A factor is a number that divides evenly into another number. For example, factors of 12 are 1, 2, 3, 4, 6, and 12.
Teacher Resources
Teaching Notes
Start by defining a factor as a number that divides evenly into another number. Encourage students to find factor pairs (e.g., 1 and 12, 2 and 6) to ensure they don't miss any. Remind them that 1 and the number itself are always factors.
Vocabulary
Factor: A number that divides another number evenly.
Multiple: The result of multiplying a number by an integer.
Common Mistakes
- Missing factors (especially the number itself or 1)
- Confusing factors with multiples
- Stopping after finding one pair
- Missing factors
- Including prime numbers multiple times
Differentiation
SupportProvide a multiplication chart. Have students use counters to make arrays.
ChallengeAsk students to identify prime numbers (only two factors) and square numbers (odd number of factors).
Discussion Questions
- Why is 1 always a factor?
- Can a number have an odd number of factors? (Yes, square numbers)
- What is the difference between a factor and a multiple?
- What is a factor?
- How do you know you've found all factors?
- How are factors related to multiplication?
- Can numbers have only two factors? What are they called?
Extension Activities
- Factor Rainbows: Draw arcs connecting factor pairs.
- Find the number with the most factors between 1 and 50.
Parent Tip
Ask your child to find factor pairs for numbers you see.
Learning Path
Skill Cluster
Number Sense & Properties
Estimated Time
15 minutes
Skills Practiced
identifying factors
Prerequisites
- Basic multiplication facts
- Division concepts
Next Steps
- Prime and composite numbers
- Greatest Common Factor (GCF)
- Find Prime and Composite Numbers
- Greatest Common Factor (GCF) Basics
- Least Common Multiple (LCM) Fundamentals