Sure! Let's look at the numbers 13, 16, 27, and 41 together.
a. Prime Numbers
A prime number is a number greater than 1 that can only be divided by 1 and itself. This means it has no other factors.
- 13: The only numbers that can divide 13 are 1 and 13. So, 13 is prime.
- 16: The number 16 can be divided by 1, 2, 4, 8, and 16. Since it has extra factors, 16 is not prime.
- 27: The number 27 can be divided by 1, 3, 9, and 27. It has more than just 1 and 27 as factors, so 27 is not prime.
- 41: The only numbers that can divide 41 are 1 and 41. So, 41 is prime.
The prime numbers are 13 and 41.
b. Composite Numbers
A composite number is a number that has more than two factors. That means you can divide it by 1, itself, and at least one other number.
- 13: Only 1 and 13 can divide it, so 13 is not composite.
- 16: Since it can be divided by 1, 2, 4, 8, and 16, 16 is composite.
- 27: It can be divided by 1, 3, 9, and 27, so 27 is composite.
- 41: Only 1 and 41 can divide it, so 41 is not composite.
The composite numbers are 16 and 27.
So to sum it up:
- Prime Numbers: 13, 41
- Composite Numbers: 16, 27