Question

tell whether 40 is a multiple of 6.
select the correct choice below and, if necessary, fill in the answer box your choice.
a. the number 40 is a multiple of 6 because 6×□=40.
(type a whole number.)
b. the number 40 is a multiple of 6 because 6+□=40.
(type a whole number.)
c. the number 40 is not a multiple of 6.

Explanation:

Step1: Recall multiple definition

A multiple of a number \( n \) is a number \( m \) such that \( m = n\times k \) where \( k \) is a whole number.

Step2: Check 40 as multiple of 6

We check if there exists a whole number \( k \) such that \( 6\times k = 40 \). Solving for \( k \), we get \( k=\frac{40}{6}=\frac{20}{3}\approx 6.666 \), which is not a whole number. Also, the concept of multiple is about multiplication, not addition, so option B is incorrect as well. So 40 is not a multiple of 6.

Answer:

C. The number 40 is not a multiple of 6.