Question

one way to determine whether a number is prime or composite is by creating a factor table. complete the factor table and the sentences below about the number 18. factor pairs of 18 1 18 2 3 4 not a factor 5 not a factor the number 18 has factors. the number 18 is a number.

Explanation:

Step1: Find factor for 2

To find the factor pair with 2, we calculate \(18\div2 = 9\). So the factor paired with 2 is 9.

Step2: Find factor for 3

To find the factor pair with 3, we calculate \(18\div3 = 6\). So the factor paired with 3 is 6.

Step3: List all factors

The factor pairs of 18 are (1, 18), (2, 9), (3, 6). So the factors of 18 are 1, 2, 3, 6, 9, 18. Counting these, we get 6 factors.

Step4: Determine prime or composite

A prime number has exactly 2 factors (1 and itself), while a composite number has more than 2 factors. Since 18 has 6 factors, it is composite.

Answer:

• Factor paired with 2: 9
• Factor paired with 3: 6
• Number of factors of 18: 6
• 18 is a composite number