Sameeksha wants square tiles to fill a 12ft × 16ft room exactly, using the FEWEST tiles possible. What's the biggest tile size that works?
🔢Factor: A number that divides another number exactly, with no remainder.
🤝HCF (Highest Common Factor): The BIGGEST number that divides two or more numbers exactly.
🧱Prime factorisation: Breaking a number down into a product of only prime numbers, like 90 = 2 × 3 × 3 × 5.
⚡Fast HCF: Find prime factors of both numbers, then multiply the COMMON primes together.
📈LCM (Lowest Common Multiple): The SMALLEST number that both given numbers divide into exactly.
Try thisFactors of 12: 1,2,3,4,6,12. Factors of 16: 1,2,4,8,16. Common factors: 1,2,4. So HCF(12,16) = 4 — the biggest tile that fits both walls perfectly!
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