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Grade 5/Factoring

Find Factors (Numbers < 100)

List all factors for numbers between 50 and 100.
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Easy
1
10 questions
2
10 questions
Medium
1
10 questions
2
10 questions
Hard
1
10 questions
2
10 questions
Prerequisites
Factors of Numbers up to 506 WS
Factors of 12: ____________________________
What to Do Next
Find First 5 Multiples6 WS
Multiples of 4: ____________________________

Practice Questions

  1. Factors of 60:
    Show answer

    1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

  2. Factors of 64:
    Show answer

    1, 2, 4, 8, 16, 32, 64

  3. Factors of 75:
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    1, 3, 5, 15, 25, 75

  4. Factors of 72:
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    1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

  5. Factors of 80:
    Show answer

    1, 2, 4, 5, 8, 10, 16, 20, 40, 80

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