Question

select all the numbers that are prime. 12 3 42 33 submit

Explanation:

Step1: Recall Prime Definition

A prime number is a number greater than 1 that has no positive divisors other than 1 and itself.

Step2: Analyze 12

Factorize 12: \(12 = 1\times12 = 2\times6 = 3\times4\). Divisors are 1, 2, 3, 4, 6, 12. Not prime.

Step3: Analyze 3

Factorize 3: \(3 = 1\times3\). Divisors are 1, 3. Prime.

Step4: Analyze 42

Factorize 42: \(42 = 1\times42 = 2\times21 = 3\times14 = 6\times7\). Divisors are 1, 2, 3, 6, 7, 14, 21, 42. Not prime.

Step5: Analyze 33

Factorize 33: \(33 = 1\times33 = 3\times11\). Divisors are 1, 3, 11, 33. Not prime.

Answer:

3 (Only 3 is a prime number among 12, 3, 42, 33)