Grade 6/Factoring
Divisibility by 6 (1150)
Determine if a number is divisible by 6.
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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
Prerequisites
- 1145
- 1148
- Divisibility by 2
- Divisibility by 3
- Multiplication facts
Next Steps
- Divisibility by 9
- Prime and Composite Numbers
- Factorization
- Divisibility by 2
- Divisibility by 3
- Divisibility Rules