What a multiple is
Count in equal steps.
Step in fours from zero and you land on 4, 8, 12 and 16. Each landing place is a multiple of 4. There is always another step, so the landing places never stop.
📚 Chapter Learning Kit
Prime Time · Class 6 Mathematics · Ganita Prakash
English 4 topics 116 leveled MCQs 60 flashcards 8 games Free
Shared by a Veda teacher · Generated with Veda AI · Oct 2026
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✏️ Example
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The whole idea, one bite at a time
Veda Bites are swipeable micro-lessons — each one teaches exactly one idea. Here's a taste from this kit; the app has the full deck.
Common multiple
Both journeys touch it.
A green lamp blinks in fours and a red lamp in sixes. At 12 seconds both of them blink. A number reached by both step sizes is a common multiple of the two.
The first meeting
Twelve seconds, not ten.
Adding the two step sizes does not give the meeting point. The lamps agree at 12 seconds, which is the smallest number standing in both lists of multiples.
Prime number
Count the factors, get two.
A prime has exactly two different factors, 1 and itself, with nothing in between. So 19 is prime: one row of 19 is the only equal arrangement of nineteen children.
Composite number
More than two factors.
A composite number has a factor beyond 1 and itself. That spare factor gives a second way to split it into equal groups, which is why 20 makes rows three different ways.
The number 1
One factor, not two.
The factor list of 1 holds one entry. That is fewer than two, so 1 is not prime, and it is not more than two either, so 1 is not composite. It belongs to neither group.
📖 Smart notes
What you'll study, topic by topic
1
Common Multiples and Common Factors
Two lists set side by side: the numbers that appear in both lists of multiples, and the numbers that appear in both lists of factors, with the reason one set is endless and the other is not.
- A multiple of a number is that number times a counting number, so the multiples of any number carry on without end.
- A number standing in both lists of multiples is a common multiple; 12, 24, 36 and 48 are common multiples of 4 and 6.
- The smallest common multiple of 4 and 6 is 12, and every later one is 12 more than the one before.
~34 min · full explanation, examples & memory tricks in the app
2
Prime Numbers, and Co-primes
Numbers with exactly two factors, numbers with more than two, the one number that has neither, and what it really means for a pair of numbers to be co-prime.
- A prime number has exactly two different factors, which are 1 and the number itself.
- A composite number has more than two factors, so it has a factor besides 1 and itself.
- The number 1 has only one factor, so it is neither prime nor composite.
~38 min · full explanation, examples & memory tricks in the app
3
Prime Factorisation
Breaking a number down until only primes are left, finding that every route ends at the same primes, and putting that single answer to work on co-primes and on division.
- The prime factorisation of a number is that number written as a product of prime numbers.
- Break a composite factor into two factors, then keep breaking, and stop only when every entry is prime.
- A number greater than 1 has exactly one prime factorisation, apart from the order in which the primes are written.
~40 min · full explanation, examples & memory tricks in the app
4
Divisibility Tests, and Fun with Numbers
Quick tests that find factors of a large number by eye: the last digit for 10, 5 and 2, the last two for 4 and the last three for 8, then two puzzles that put the whole chapter to work.
- A number is a multiple of 10 exactly when its last digit is 0, so 4,730 passes and 4,735 does not.
- A number is a multiple of 5 exactly when its last digit is 0 or 5.
- A number is a multiple of 2 exactly when its last digit is 0, 2, 4, 6 or 8.
~40 min · full explanation, examples & memory tricks in the app
❓ Leveled MCQ practice
Try the smart MCQs from this kit
116 questions laddered from warm-up to topper-level, each with an explanation. A taste:
A green lamp blinks every 4 seconds and a red lamp every 6 seconds, both starting together. When do they next blink at the same instant?
Beginner
A At 10 seconds, because 4 and 6 added together give 10
B At 12 seconds, the smallest number standing in both lists
C At 24 seconds, the two step sizes multiplied together
D At 6 seconds, because 6 is the larger of the two step sizes
Show answer & explanation
At 12 seconds, the smallest number standing in both lists
The green lamp reaches 12 and so does the red one, and nothing smaller does both.
A number standing in the list of multiples of 5 and also in the list of multiples of 8 is called a ____ of 5 and 8.
Beginner
A common factor
B common multiple
C counting number
D remainder
Show answer & explanation
common multiple
Appearing in both lists of multiples is exactly what the name describes.
Why can nobody write down the largest common multiple of 4 and 6?
Intermediate
A Adding 12 to any common multiple gives another one, so the list never ends
B Because 4 and 6 are both even, and even numbers have no largest multiple
C Because the two lists of multiples never actually meet at any number
D Because a common multiple has to be smaller than 4 and 6 to begin with
Show answer & explanation
Adding 12 to any common multiple gives another one, so the list never ends
There is always a bigger one waiting, so no last one can be named.
Which statement is true?
Intermediate
A Every common factor of two numbers is larger than both of the numbers
B Two numbers can be chosen so that they share no common factor at all
C Every pair of whole numbers has 1 as a common factor
D A number's factors carry on for ever, just as its multiples do
Show answer & explanation
Every pair of whole numbers has 1 as a common factor
1 divides everything, so it is on every factor list and therefore on every shared list.
🃏 Flashcards
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60 flashcards in this kit — the app reviews them with spaced repetition so the right card returns on the right day.
🎮 Learning games
Play your way through this kit
Every game is built from this kit's own content — scores feed your mastery, so playing counts as studying.
Memory Match
Categorization
Fact Or Myth
Word Scramble
Sequence Builder
True False
Word Match
Speed Quiz
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The full Veda Bites deck, complete notes, spaced-repetition flashcards, leveled MCQs, tests and games for this kit — plus Daily Facts and the Arena, every day.