Question

drag each number to show whether it is a prime number or a composite number. three of the numbers are prime, and three are composite. 34, 31, 97, 4, 67, 49. prime numbers (drag and drop items here), composite numbers (drag and drop items here)

Explanation:

Step1: Define Prime and Composite

A prime number has exactly 2 distinct positive divisors (1 and itself). A composite number has more than 2 distinct positive divisors.

Step2: Analyze 34

Factors of 34: \(1, 2, 17, 34\). More than 2 divisors, so composite.

Step3: Analyze 31

Factors of 31: \(1, 31\). Exactly 2 divisors, so prime.

Step4: Analyze 97

Factors of 97: \(1, 97\). Exactly 2 divisors, so prime.

Step5: Analyze 4

Factors of 4: \(1, 2, 4\). More than 2 divisors, so composite.

Step6: Analyze 67

Factors of 67: \(1, 67\). Exactly 2 divisors, so prime.

Step7: Analyze 49

Factors of 49: \(1, 7, 49\). More than 2 divisors, so composite.

Answer:

Prime Numbers: 31, 97, 67
Composite Numbers: 34, 4, 49