To determine which number is a multiple of both 6 and 8, let's review the provided options:
- 24
- 18
- 3
- 2
A number is a multiple of a given number if it can be evenly divided by that number without any remainder. To check if a number is a multiple of both 6 and 8, we need to ensure it is divisible by both 6 and 8.
Let's examine the options:
1. 24:
- To check if 24 is a multiple of 6, we divide 24 by 6:
[tex]\[
24 \div 6 = 4
\][/tex]
Since the division yields an integer (4), 24 is a multiple of 6.
- To check if 24 is a multiple of 8, we divide 24 by 8:
[tex]\[
24 \div 8 = 3
\][/tex]
Since the division yields an integer (3), 24 is a multiple of 8.
2. 18:
- To check if 18 is a multiple of 6, we divide 18 by 6:
[tex]\[
18 \div 6 = 3
\][/tex]
Since the division yields an integer (3), 18 is a multiple of 6.
- To check if 18 is a multiple of 8, we divide 18 by 8:
[tex]\[
18 \div 8 = 2.25
\][/tex]
Since the division does not yield an integer, 18 is not a multiple of 8.
3. 3:
- To check if 3 is a multiple of 6, we divide 3 by 6:
[tex]\[
3 \div 6 = 0.5
\][/tex]
Since the division does not yield an integer, 3 is not a multiple of 6.
- As 3 is not a multiple of 6, there's no need to check for 8.
4. 2:
- To check if 2 is a multiple of 6, we divide 2 by 6:
[tex]\[
2 \div 6 = 0.3333
\][/tex]
Since the division does not yield an integer, 2 is not a multiple of 6.
- As 2 is not a multiple of 6, there's no need to check for 8.
From this examination, we can conclude that the number 24 is a multiple of both 6 and 8. Therefore, the correct answer is:
○ 24
