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Page 1 HCF & LCM MATHS Page 2 HCF & LCM MATHS Prime Numbers: Building Blocks Prime numbers are divisible only by 1 and themselves. Example- 2, 3, 5, 7, 11, 13, ... NOTE - 1 is not prime, 2 is the only even prime. Page 3 HCF & LCM MATHS Prime Numbers: Building Blocks Prime numbers are divisible only by 1 and themselves. Example- 2, 3, 5, 7, 11, 13, ... NOTE - 1 is not prime, 2 is the only even prime. COMPOSITE NUMBERS Composite numbers have factors other than 1 and themselves. EXAMPLES 4, 6, 8, 9, 10, 12, 14, 15, ... Page 4 HCF & LCM MATHS Prime Numbers: Building Blocks Prime numbers are divisible only by 1 and themselves. Example- 2, 3, 5, 7, 11, 13, ... NOTE - 1 is not prime, 2 is the only even prime. COMPOSITE NUMBERS Composite numbers have factors other than 1 and themselves. EXAMPLES 4, 6, 8, 9, 10, 12, 14, 15, ... Twin Primes Prime Triplet Prime numbers differing by 2, e.g., (3, 5), (5, 7). Three prime numbers differing by 2, e.g., (3, 5, 7). Co-prime Numbers Numbers with no common factor other than 1, e.g., (2, 3), (3, 4). Page 5 HCF & LCM MATHS Prime Numbers: Building Blocks Prime numbers are divisible only by 1 and themselves. Example- 2, 3, 5, 7, 11, 13, ... NOTE - 1 is not prime, 2 is the only even prime. COMPOSITE NUMBERS Composite numbers have factors other than 1 and themselves. EXAMPLES 4, 6, 8, 9, 10, 12, 14, 15, ... Twin Primes Prime Triplet Prime numbers differing by 2, e.g., (3, 5), (5, 7). Three prime numbers differing by 2, e.g., (3, 5, 7). Co-prime Numbers Numbers with no common factor other than 1, e.g., (2, 3), (3, 4). _ Divisible by 2 Ends in 0, 2, 4, 6, or 8. Example- 62, 66, 78,90.... Divisible by 3 Sum of digits is divisible by 3. _ Example- 27,30,33, sum of their digits, is divisible by 3 (2+7=9, 3+0=3, 3+3=6) Divisible by 4 Last two digits are divisible by 4. _ Example- 112, 196 as 12 and 96 are divisible by 4 Divisible by 5 Ends in 0 or 5. _ Example- 1050,580,695,etc they end with 0 or 5 DIVISIBILITY RULESRead More
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