Question
EXERCISE 1.3
- 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 ?
- a a List the prime numbers up to 40 .
b) Is 57 a prime number? Explain.
2.- ad Write the first five multiples of 6 and 8 .
b) What is the LCM of 6 and 8 ?
b) Is 57 a prime number? Explain.
Ask by Wyatt Hill. in South Africa
Jan 22,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Exercise 1.3 Solutions:
-
Factors and HCF:
- 27: 1, 3, 9, 27
- 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
- HCF of 27 and 36: 9
-
Multiples and LCM:
- First five multiples of 6: 6, 12, 18, 24, 30
- First five multiples of 8: 8, 16, 24, 32, 40
- LCM of 6 and 8: 24
-
Prime Numbers:
- Prime numbers up to 40: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37
- Is 57 a prime number? No, because it has divisors 3 and 19.
Summary:
- HCF of 27 and 36 is 9.
- First five multiples of 6 are 6, 12, 18, 24, 30; of 8 are 8, 16, 24, 32, 40.
- LCM of 6 and 8 is 24.
- Prime numbers up to 40 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37.
- 57 is not a prime number.
Solution
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The Deep Dive
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!
