Class 6 Mathematics — Chapter 5: Common Multiples and Common Factors
Chapter 5: Common Multiples and Common Factors is a chapter in Class 6 Mathematics (Ganita Prakash), part of the CBSE NCERT curriculum followed by over 25 million students across India. This chapter covers 7 topics including Understanding Multiples and Common Multiples, Identifying Factors and Common Factors, Prime and Composite Numbers. BrainWeave provides free AI-powered explanations — by voice or text, in Hindi or English — with no signup required.
What you'll learn
-
▸Understanding Multiples and Common MultiplesCore conceptmultiplecommon multiplemultiple of 3multiple of 5idli-vada
-
▸Identifying Factors and Common FactorsCore conceptfactordivisorcommon factorjump sizedivides exactly
-
▸Prime and Composite NumbersCore conceptprime numbercomposite numbertwo factorsmore than two factorsrectangular arrangement
-
▸The Special Case of Number 1Core conceptnumber 1neither prime nor compositeone factorunique number
-
▸The Sieve of EratosthenesSieve of Eratosthenesfind primescross out multiplescircle primesmethod
-
▸Solving Problems with Multiples and Factorsword problemspuzzlesfind the numbercommon factorscommon multiples
-
▸Perfect Numbersperfect numbersum of factorstwice the numberspecial numbers
Chapter Summary
Students should be able to identify multiples of a given number and find the common multiples for two or more numbers. This concept is introduced using relatable games and visual aids like Venn diagrams.
Students should understand that factors (or divisors) are numbers that divide another number exactly. They must be able to list all factors of a number and identify the common factors for two or more numbers.
Students should learn the definitions of prime numbers (having exactly two factors: 1 and itself) and composite numbers (having more than two factors), and be able to classify given numbers accordingly.
Students must understand that the number 1 is a unique case that is classified as neither prime nor composite because it has only one factor.
Students should learn and apply the step-by-step method of the Sieve of Eratosthenes to systematically identify all prime numbers up to 100.
Students should apply their understanding of multiples and factors to solve various word problems and puzzles that require finding common factors or multiples.
Students should understand the definition of a perfect number as a number where the sum of all its factors equals twice the number, and be able to test if a given number is perfect.
Practice Questions from this Chapter
Tap "Get Solution" on any question to ask our AI tutor.
- Explain common multiples simply. Get Solution →
- Give a real-world example of factors. Get Solution →
- Quiz me on perfect numbers. Get Solution →
- In the 'Idli-Vada Game', what is the general term for numbers like 3, 6, 9, ... which are replaced by the word 'idli'? Get Solution →
- In the 'Jump Jackpot' game, the numbers that represent successful jump sizes to land on 24 (like 1, 2, 3, 4, 6, 8, 12, 24) are called what? Get Solution →
- According to the text, what is a number that has only two factors (1 and the number itself) called? Get Solution →
- What is the term for a number that has more than two factors? Get Solution →
- How does the chapter classify the number 1? Get Solution →
Did you know?
- 💡 The number 496 is also a perfect number, where all its factors add up to twice 496.
- 💡 Some cicada insects emerge from underground every 13 or 17 years, which are prime numbers.
- 💡 A googol is a number so big it's 1 followed by one hundred zeros.
- 💡 All whole numbers have at least two factors: the number one and themselves.
- 💡 Common multiples help engineers design meshing gears for bicycles and machines.
Frequently Asked Questions
How many topics are covered in this chapter?
This chapter covers 7 key topics: Understanding Multiples and Common Multiples, Identifying Factors and Common Factors, Prime and Composite Numbers, The Special Case of Number 1, The Sieve of Eratosthenes, and more. The BrainWeave AI tutor explains each one with examples.
Is Chapter 5: Common Multiples and Common Factors important for board exams?
Class 6 is a foundation year. Mastering this chapter now will help you build strong fundamentals for the higher classes.
Can I get NCERT solutions for this chapter in Hindi?
Yes. BrainWeave's AI tutor supports Hindi, English, and Hinglish for both voice and text chat. Just ask your question in your preferred language.
Is BrainWeave free for Class 6?
Yes. BrainWeave's free Spark plan gives generous daily messages — enough for regular homework. Premium features unlock when you bring your own free Google Gemini API key.
Can I use voice chat for this chapter?
Absolutely. Tap the mic, ask any question about Chapter 5: Common Multiples and Common Factors, and the AI tutor will explain it back in voice and text.
How is BrainWeave better than static NCERT solutions sites?
Static solution sites give the same answer to everyone. BrainWeave adapts to your question — ask "explain like I'm 12" or "give a real-world example" and get a personalized response. Voice mode and Hindi support work seamlessly.
Related Chapters
Ask Any Question About Chapter 5: Common Multiples and Common Factors
Voice or text. Hindi or English. Free to start. No signup required.
Start Now →