Grade 5/Factoring
Find Factors (Numbers < 100) (1141)
List all factors for numbers between 50 and 100.
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Quick Tip
Find all numbers that divide evenly into the given number.
Teacher Resources
Teaching Notes
Students will need to be systematic to find all factors of larger numbers. Encourage using divisibility rules (e.g., if it ends in 0 or 5, 5 is a factor).
Vocabulary
Factor: A number that divides another number evenly.
Multiply: Combine groups to find a total.
Common Mistakes
- Missing factors in the middle (e.g., for 72, missing 8 or 9)
- Calculation errors with division
- Missing a factor pair
- Confusing factors with multiples
- Stopping too early
- Not including 1 and the number itself
Differentiation
SupportAllow use of a calculator to check division.
ChallengeFind the prime factorization of these numbers.
Discussion Questions
- How do divisibility rules help us find factors?
- Why do some large numbers have few factors (primes)?
- What are factors?
- How do you know you've found all factors?
- What is the smallest factor of any number?
- Can a number have an odd number of factors? When?
Extension Activities
- Venn Diagram: Factors of 60 vs Factors of 72.
- Which number under 100 has the most factors? (Highly composite numbers)
Parent Tip
Ask your child to find pairs of items that can be grouped evenly.
Learning Path
Skill Cluster
Number Sense & Operations
Estimated Time
20 minutes
Skills Practiced
identifying factors large numbers
Prerequisites
- 1140
- Multiplication facts
- Division facts
- Understanding of whole numbers
Next Steps
- Prime and composite numbers
- Prime factorization
- Greatest common factor
- Prime or Composite Numbers
- Greatest Common Factor
- Divisibility Rules