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Second/Factoring

Divisibility by 6

Determine if a number is divisible by 6.
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Practice Questions

  1. Is 24 divisible by 6?
    Show answer

    (A) Yes

  2. Is 30 divisible by 6?
    Show answer

    (A) Yes

  3. Is 20 divisible by 6?
    Show answer

    (B) No

  4. Is 15 divisible by 6?
    Show answer

    (B) No

  5. Is 36 divisible by 6?
    Show answer

    (A) Yes

Quick Tip
A number is divisible by 6 if it is divisible by BOTH 2 and 3. (It must be even and the sum of its digits must be divisible by 3).
Teacher Resources
Teaching Notes

Combine the rules for 2 and 3.

Vocabulary
Divisible: Can be divided with no remainder.
Even: A number that can be divided by 2 with no remainder.
Common Mistakes
  • Checking only one rule (e.g., it's even so it must be divisible by 6)
  • Forgetting rule for 2 (even).
  • Forgetting rule for 3 (sum of digits).
  • Checking only one rule.
  • Incorrectly summing digits.
Differentiation
SupportCheck for even first, then check sum of digits.
ChallengeIs 123456 divisible by 6?
Discussion Questions
  • Why must a number be even to be divisible by 6?
  • Why must a number be divisible by both 2 and 3?
  • Can a number be divisible by 6 but not by 2?
  • How is this rule useful for larger numbers?
  • What other numbers have combined divisibility rules?
Extension Activities
  • Find numbers divisible by 6 between 50 and 100.
Parent Tip

Ask your child to check if numbers are even and if their digits sum to a multiple of 3.

Learning Path
Skill Cluster

Number Sense & Operations

Estimated Time

10 minutes

Skills Practiced
Divisibility 6