Chapter 3 of 5
Concept Maps
Playing with Numbers — Concept Maps
Gujarat Board · Class 6 · Mathematics
3 concept maps of Playing with Numbers for Gujarat Board Class 6 Mathematics, each also written out as a text outline.
45 questions5 concepts
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3 Concept Maps
Playing with Numbers — Complete Chapter Overview
The map in words
- Playing with Numbers
- Factors and Multiples
- Factor divides exactly
- 1 is factor of all
- Multiple is product
- Multiples are infinite
- Perfect Numbers
- 6 and 28
- Prime and Composite
- Prime has 2 factors
- 1 and itself
- 2 is only even prime
- 25 primes upto 100
- Composite has more than 2
- 4 6 8 9 10 etc
- 1 is neither
- Twin Primes differ by 2
- Sieve of Eratosthenes
- Prime has 2 factors
- Divisibility Rules
- By 2 last digit even
- By 3 digit sum div by 3
- By 4 last 2 digits
- By 5 ends in 0 or 5
- By 6 div by 2 and 3
- By 8 last 3 digits
- By 9 digit sum div by 9
- By 10 ends in 0
- By 11 odd even place diff
- HCF and LCM
- HCF
- Greatest common divisor
- Min power of common primes
- Use for maximum problems
- LCM
- Least common multiple
- Max power of all primes
- Use for minimum problems
- Relation
- HCF times LCM equals product
- HCF
- Prime Factorisation
- Division ladder method
- Factor tree method
- Unique for every number
- Common Factors and Multiples
- Co-prime numbers HCF is 1
- Consecutive numbers co-prime
- Factors and Multiples
Playing with Numbers – Complete Chapter Overview
The map in words
- Playing with Numbers
- Factors and Multiples
- Factor divides exactly
- 1 is factor of all
- Every number factor of itself
- Multiple is product
- Multiples are infinite
- Perfect Numbers
- Sum of factors = 2 x number
- Examples 6 and 28
- Prime and Composite
- Prime has exactly 2 factors
- Composite has more than 2
- 1 is neither prime nor composite
- 2 is only even prime
- Twin Primes differ by 2
- Sieve of Eratosthenes
- Divisibility Tests
- By 2 last digit 0 2 4 6 8
- By 3 digit sum divisible by 3
- By 4 last two digits
- By 5 last digit 0 or 5
- By 6 divisible by 2 and 3
- By 8 last three digits
- By 9 digit sum divisible by 9
- By 10 last digit 0
- By 11 alternating digit difference
- Common Factors and Multiples
- Common factors shared by all
- Common multiples shared by all
- Co-prime HCF equals 1
- Prime Factorisation
- Express as product of primes
- Factor Tree method
- Ladder division method
- Unique for every number
- HCF
- Greatest common divisor
- Common primes minimum power
- Use for maximum problems
- LCM
- Least common multiple
- All primes maximum power
- Use for minimum problems
- HCF x LCM = product of two numbers
- Factors and Multiples
Playing with Numbers - Complete Concept Map
The map in words
- Playing with Numbers
- Factors and Multiples
- Definition of Factors
- Definition of Multiples
- Finding Factors
- Finding Multiples
- Properties of Factors
- Properties of Multiples
- Prime and Composite
- Prime Numbers
- Definition
- Examples 2 3 5 7 11
- Sieve of Eratosthenes
- Composite Numbers
- Definition
- Examples 4 6 8 9
- Special Cases
- 1 is neither prime nor composite
- 2 is only even prime
- Prime Numbers
- Divisibility Rules
- By 2 5 10
- Last digit check
- By 3 9
- Sum of digits
- By 4 8
- Last digits
- By 6
- Divisible by 2 and 3
- By 11
- Alternating digit sum
- By 2 5 10
- Prime Factorization
- Definition
- Factor Tree Method
- Division Method
- Unique Factorization
- HCF and LCM
- Common Factors
- Finding HCF
- Applications
- Common Multiples
- Finding LCM
- Applications
- Relationship
- HCF times LCM equals ab
- Common Factors
- Real World Problems
- Container Capacity
- Event Synchronization
- Equal Distribution
- Fraction Operations
- Factors and Multiples
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Explore DiagramsFrequently Asked Questions
What are the important topics in Playing with Numbers for Gujarat Board Class 6 Mathematics?
Key topics in Playing with Numbers include Factors and Multiples, Prime and Composite Numbers, Tests for Divisibility, Common Factors, Common Multiples, and Co-prime Numbers. Study these first, then practise questions on each for Class 6 exams.
What do the concept maps for Playing with Numbers show?
The 3 maps show how the ideas in Playing with Numbers connect: Playing with Numbers — Complete Chapter Overview; Playing with Numbers – Complete Chapter Overview. Each map is also written out as an outline on this page.
How should I revise Playing with Numbers for Class 6 exams?
Learn the core ideas first, then work through the 45 practice questions on Playing with Numbers. Revise definitions regularly and use flashcards for quick recall before the exam.
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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