a. Multiples of 22 and 28

Let’s break down the problem: 1. Multiples of 22:   • These are numbers of the form 22 × n, where n is a positive integer.   • Examples: 22, 44, 66, 88, 110, 132, 154, 176, 198, 220, … 2. Multiples of 28:   • These are numbers of the form 28 × m, where m is a positive integer.   • Examples: 28, 56, 84, 112, 140, 168, 196, 224, 252, 280, … 3. Common Multiples of 22 and 28:   • A number that is a multiple of both 22 and 28 must be divisible by both.   • To find the common multiples, we first find the least common multiple (LCM) of 22 and 28.     – Prime factors of 22: 2 × 11     – Prime factors of 28: 2² × 7     – The LCM is found by taking the highest power of each prime: 2², 7, and 11.     – LCM = 4 × 7 × 11 = 308.   • Thus, every common multiple is a multiple of 308. Examples include:     – 308, 616, 924, 1232, … Summary: • Multiples of 22: 22n (n = 1, 2, 3, …) • Multiples of 28: 28m (m = 1, 2, 3, …) • Common multiples: 308k (k = 1, 2, 3, …), with 308 being the smallest common multiple.