18 33 11 27 29 31
7 51 47 49 81 73
89 17 23 9 14 67
Which of these numbers are prime numbers?
Prime numbers are numbers that are only divisible by 1 and themselves.
Looking at the given list of numbers:
18 is not a prime number because it is divisible by 2 and 3.
33 is not a prime number because it is divisible by 3 and 11.
11 is a prime number because it is only divisible by 1 and 11.
27 is not a prime number because it is divisible by 3 and 9.
29 is a prime number because it is only divisible by 1 and 29.
31 is a prime number because it is only divisible by 1 and 31.
7 is a prime number because it is only divisible by 1 and 7.
51 is not a prime number because it is divisible by 3, 17, and 51.
47 is a prime number because it is only divisible by 1 and 47.
49 is not a prime number because it is divisible by 7 and 49.
81 is not a prime number because it is divisible by 3, 9, and 27.
73 is a prime number because it is only divisible by 1 and 73.
89 is a prime number because it is only divisible by 1 and 89.
17 is a prime number because it is only divisible by 1 and 17.
23 is a prime number because it is only divisible by 1 and 23.
9 is not a prime number because it is divisible by 3 and 9.
14 is not a prime number because it is divisible by 2, 7, and 14.
67 is a prime number because it is only divisible by 1 and 67.
Therefore, the prime numbers in the list are: 11, 29, 31, 7, 47, 73, 89, 17, 23, and 67.
To determine which numbers are prime, we need to check if each number is divisible by any number other than 1 and itself.
Let's go through each number and check if it is prime:
1. 18: Not a prime number. It is divisible by 2, 3, 6, 9, and 18.
2. 33: Not a prime number. It is divisible by 3, 11, 33.
3. 11: Prime number.
4. 27: Not a prime number. It is divisible by 3, 9, 27.
5. 29: Prime number.
6. 31: Prime number.
7. 7: Prime number.
8. 51: Not a prime number. It is divisible by 3, 17, and 51.
9. 47: Prime number.
10. 49: Not a prime number. It is divisible by 7 and 49.
11. 81: Not a prime number. It is divisible by 3, 9, 27, and 81.
12. 73: Prime number.
13. 89: Prime number.
14. 17: Prime number.
15. 23: Prime number.
16. 9: Not a prime number. It is divisible by 3 and 9.
17. 14: Not a prime number. It is divisible by 2, 7, and 14.
18. 67: Prime number.
Therefore, the prime numbers from the given list are: 11, 29, 31, 7, 47, 73, 89, 17, 23, and 67.
To determine which numbers are prime, we need to check if each number in the given list is divisible by any number other than 1 and itself.
Let's go through the list of numbers one by one:
18: Divide by numbers from 2 to 17. 18 is divisible by 2, 3, 6, 9, so it is not a prime number.
33: Divide by numbers from 2 to 32. 33 is divisible by 3, 11, so it is not a prime number.
11: Divide by numbers from 2 to 10. 11 is only divisible by 1 and 11, so it is a prime number.
27: Divide by numbers from 2 to 26. 27 is divisible by 3, 9, so it is not a prime number.
29: Divide by numbers from 2 to 28. 29 is only divisible by 1 and 29, so it is a prime number.
31: Divide by numbers from 2 to 30. 31 is only divisible by 1 and 31, so it is a prime number.
Now let's summarize the prime numbers from the given list:
11, 29, 31.
Therefore, the prime numbers from the given list are 11, 29, and 31.