EXERCISE 1.3 1. List the factors of 27 and 36 and then find the HC 2.- ad Write the first five multiples of 6 and 8 . b) What is the LCM of 6 and 8 ? 3. a a List the prime numbers up to 40 . b) Is 57 a prime number? Explain.
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When we break down 27, we see its factors are 1, 3, 9, and 27. For 36, the factors are 1, 2, 3, 4, 6, 9, 12, 18, and 36. The highest common factor (HCF) for these two is 9! Next up, the first five multiples of 6 are 6, 12, 18, 24, and 30, while for 8, they’re 8, 16, 24, 32, and 40. The least common multiple (LCM) of these two numbers is 24, as it’s the smallest number that appears in both lists! Now, the prime numbers up to 40 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, and 39. As for 57, it is not a prime number since it can be divided evenly by 1, 3, 19, and itself, making it a composite number instead. Keep up the great work!