Question

sample answer: first, list all the factors of a number. then, count them. if there are more than two factors, the number is composite. if there are exactly two factors, then the number is prime.

which ideas did you include in your explanation? check all that apply.

list the factors.
count the number of factors.
prime numbers have exactly two factors.
composite numbers have two or more factors.

Explanation:

Analyze the sample answer

We read the provided sample answer: "First, list all the factors of a number. Then, count them. If there are more than two factors, the number is composite. If there are exactly two factors, then the number is prime."

Evaluate the first option

The first option is "List the factors."
The sample answer states: "First, list all the factors of a number."
This idea is included.

Evaluate the second option

The second option is "Count the number of factors."
The sample answer states: "Then, count them."
This idea is included.

Evaluate the third option

The third option is "Prime numbers have exactly two factors."
The sample answer states: "If there are exactly two factors, then the number is prime."
This idea is included.

Evaluate the fourth option

The fourth option is "Composite numbers have two or more factors."
The sample answer states: "If there are more than two factors, the number is composite."
"More than two factors" means 3 or more factors, which is not the same as "two or more factors" (which would include prime numbers with exactly 2 factors).
Therefore, this specific statement is mathematically incorrect and not included in the sample answer.

Answer:

• List the factors. (Correct answer)
• Count the number of factors. (Correct answer)
• Prime numbers have exactly two factors. (Correct answer)
• Composite numbers have two or more factors.