Question

select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. the number 24 is a multiple of 4 because 4×□ = 24.
(type a whole number.)
b. the number 24 is a multiple of 4 because 4 + □ = 24.
(type a whole number.)
c. the number 24 is not a multiple of 4.

Explanation:

Step1: Recall multiple definition

A multiple of a number \( n \) is a number \( m \) such that \( m = n \times k \) for some whole number \( k \). So we check the options.

Step2: Analyze Option A

We need to find \( k \) where \( 4\times k = 24 \). Solving for \( k \), we divide both sides by 4: \( k=\frac{24}{4}=6 \). Since 6 is a whole number, this fits the definition of a multiple.

Step3: Analyze Option B

The definition of a multiple is about multiplication, not addition. So \( 4 + k=24 \) gives \( k = 20 \), but this is not the definition of a multiple, so B is incorrect.

Step4: Analyze Option C

Since \( 4\times6 = 24 \), 24 is a multiple of 4, so C is incorrect.

Answer:

A. The number 24 is a multiple of 4 because \( 4\times\boldsymbol{6}=24 \).