Subjects number theory

Prime Numbers 9B3A3C

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Question: Choose all the prime numbers. Choose all that apply • 5 points top-left: checkbox with $2$ top-left: checkbox with $9$ top-left: checkbox with $12$ top-left: checkbox with $15$ top-left: checkbox with $19$ top-left: checkbox with $23$
1. The problem asks us to identify which numbers from the list are prime numbers. 2. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. 3. Let's check each number: - $2$: Divisors are 1 and 2 only. So, $2$ is prime. - $9$: Divisible by 1, 3, and 9. Since it has a divisor other than 1 and itself, $9$ is not prime. - $12$: Divisible by 1, 2, 3, 4, 6, and 12. Not prime. - $15$: Divisible by 1, 3, 5, and 15. Not prime. - $19$: Divisible only by 1 and 19. Prime. - $23$: Divisible only by 1 and 23. Prime. 4. Therefore, the prime numbers in the list are $2$, $19$, and $23$.