Final answer:
The numbers 7, 10, 13, 23, 36, 55, and 67 are classified as prime or composite based on their divisibility by factors other than 1 and themselves.
Step-by-step explanation:
A prime number is a number that is divisible only by 1 and itself, while a composite number is a number that has factors other than 1 and itself. To determine which numbers are prime or composite, we can check if they are divisible by any number other than 1 and themselves.
- 7 is prime because it is only divisible by 1 and 7.
- 10 is composite because it is divisible by 1, 2, 5, and 10.
- 13 is prime because it is only divisible by 1 and 13.
- 23 is prime because it is only divisible by 1 and 23.
- 36 is composite because it is divisible by 1, 2, 3, 4, 6, 9, 12, 18, and 36.
- 55 is composite because it is divisible by 1, 5, 11, and 55.
- 67 is prime because it is only divisible by 1 and 67.
Based on this information, the correct classification of the numbers is Prime:
7, 13, 23, 67 and Composite:
10, 36, 55.
Learn more about Prime and Composite Numbers