Let's look at the numbers: 13, 16, 27, and 41.
a. Which of these numbers are prime? A prime number is a number that can only be divided by 1 and itself. It has exactly two factors.
- 13: You can only divide it by 1 and 13. So, it's prime!
- 16: You can divide it by 1, 2, 4, 8, and 16. So, it's not prime.
- 27: You can divide it by 1, 3, 9, and 27. So, it's not prime.
- 41: You can only divide it by 1 and 41. So, it's prime!
So, the prime numbers are 13 and 41.
b. Which of these numbers are composite? A composite number is a number that can be divided by 1, itself, and other numbers too. This means it has more than two factors.
- 16: As we said, it can be divided by 1, 2, 4, 8, and 16. So, it's composite!
- 27: It can be divided by 1, 3, 9, and 27. So, it’s also composite!
So, the composite numbers are 16 and 27.
To sum up:
- Prime numbers: 13 and 41
- Composite numbers: 16 and 27.
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