This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Hey SIR., good to see you again. Step 1: Write the first six multiples of 9. To find the multiples of 9, we multiply 9 by consecutive whole numbers starting from 1. 9 × 1 = 9 9 × 2 = 18 9 × 3 = 27 9 × 4 = 36 9 × 5 = 45 9 × 6 = 54 The first six multiples of 9 are 9, 18, 27, 36, 45, 54. Step 2: Find the factors of 12 and count them. *i) Factors of 12 are numbers that divide 12 exactly. 1 × 12 = 12 2 × 6 = 12 3 × 4 = 12 The factors of 12 are 1, 2, 3, 4, 6, 12. *ii) Counting the factors: There are 6 factors. The number of factors is 6. Step 3: Find the GCF of 12 and 15. First, list the factors for each number. Factors of 12: 1, 2, 3, 4, 6, 12 Factors of 15: 1, 3, 5, 15 The common factors are 1 and 3. The greatest common factor (GCF) is the largest of these common factors. The GCF of 12 and 15 is 3. Step 4: Write a set of prime numbers from the given set 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. • 2 is prime. • 3 is prime. • 4 is not prime (4 = 2 × 2). • 5 is prime. • 6 is not prime (6 = 2 × 3). • 7 is prime. • 8 is not prime (8 = 2 × 4). • 9 is not prime (9 = 3 × 3). • 10 is not prime (10 = 2 × 5). • 11 is prime. • 12 is not prime (12 = 2 × 6). • 13 is prime. • 14 is not prime (14 = 2 × 7). The set of prime numbers is \2, 3, 5, 7, 11, 13\. Step 5: Factorise 25 and write prime or composite number. To factorise 25, we find its prime factors. 25 = 5 × 5 The factors of 25 are 1, 5, and 25. Since 25 has more than two factors (1, 5, and 25), it is a composite number. Factorisation of 25: 5 × 5 25 is a composite number. Send me the next one 📸