Playing with Numbers
Gujarat Board · Class 6 · Mathematics
Quick revision notes for Playing with Numbers — Gujarat Board Class 6 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
Factors and Multiples
- A factor of a number exactly divides that number leaving remainder 0.
- 1 is a factor of every number.
- Every number is a factor of itself.
Prime and Composite Numbers
- A prime number has exactly 2 factors: 1 and itself.
- A composite number has more than 2 factors.
- The number 1 is NEITHER prime NOR composite — it has only 1 factor.
Tests for Divisibility
- Divisibility by 2: Last digit (ones place) is 0, 2, 4, 6, or 8.
- Divisibility by 3: Sum of all digits is divisible by 3.
- Divisibility by 4: Number formed by last TWO digits (tens and ones) is divisible by 4.
Common Factors, Common Multiples, and Co-prime Numbers
- Common factors of two or more numbers are factors that are present in ALL the given numbers.
- To find common factors, list all factors of each number, then identify those appearing in all lists.
- Common multiples of two or more numbers are multiples that appear in ALL their multiple lists.
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