Prime numbers are natural numbers greater than 1 that have no positive divisors other than 1 and themselves. To find the prime numbers between 10 and 20, we can test each number in that range.
The numbers to consider are: 11, 12, 13, 14, 15, 16, 17, 18, 19, and 20.
- 11: Divisible only by 1 and 11. Prime.
- 12: Divisible by 1, 2, 3, 4, 6, 12. Not prime.
- 13: Divisible only by 1 and 13. Prime.
- 14: Divisible by 1, 2, 7, 14. Not prime.
- 15: Divisible by 1, 3, 5, 15. Not prime.
- 16: Divisible by 1, 2, 4, 8, 16. Not prime.
- 17: Divisible only by 1 and 17. Prime.
- 18: Divisible by 1, 2, 3, 6, 9, 18. Not prime.
- 19: Divisible only by 1 and 19. Prime.
- 20: Divisible by 1, 2, 4, 5, 10, 20. Not prime.
So, the prime numbers from 10 to 20 are: 11, 13, 17, and 19.