Which number is prime? Choices: (A)8 (B)11 (C)9 (D)12

Check Prime Number 8: Step 1: Check if 8 is a prime number. A prime number has only two distinct positive divisors: 1 and itself. 8 can be divided by 1, 2, 4, and 8. Since it has more than two divisors, 8 is not a prime number. Check Prime Number 11: Step 2: Check if 11 is a prime number. 11 can be divided by 1 and 11 only. Since it has exactly two distinct divisors, 11 is a prime number. Check Prime Number 9: Step 3: Check if 9 is a prime number. 9 can be divided by 1, 3, and 9. Since it has more than two divisors, 9 is not a prime number. Check Prime Number 12: Step 4: Check if 12 is a prime number. 12 can be divided by 1, 2, 3, 4, 6, and 12. Since it has more than two divisors, 12 is not a prime number.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which number is prime? $\newline$ Choices: $\newline$ (A) $8$ $\newline$ (B) $11$ $\newline$ (C) $9$ $\newline$ (D) $12$

View step-by-step help

Full solution

Q. Which number is prime?

\newline

Choices:

\newline

(A)

8

\newline

(B)

11

\newline

(C)

9

\newline

(D)

12

Check Prime Number $8$ : Step $1$ : Check if $8$ is a prime number. A prime number has only two distinct positive divisors: $1$ and itself. $8$ can be divided by $1$ , $2$ , $4$ , and $8$ . Since it has more than two divisors, $8$ is not a prime number.
Check Prime Number $11$ : Step $2$ : Check if $11$ is a prime number. $11$ can be divided by $1$ and $11$ only. Since it has exactly two distinct divisors, $11$ is a prime number.
Check Prime Number $9$ : Step $3$ : Check if $9$ is a prime number. $9$ can be divided by $1$ , $3$ , and $9$ . Since it has more than two divisors, $9$ is not a prime number.
Check Prime Number $12$ : Step $4$ : Check if $12$ is a prime number. $12$ can be divided by $1$ , $2$ , $3$ , $4$ , $6$ , and $12$ . Since it has more than two divisors, $12$ is not a prime number.