Which list shows only multiples of 8?2, 4, 8 24, 32, 40 32, 96, 108 34, 42, 50
The Correct Answer and Explanation is:
Correct Answer:
24, 32, 40
Explanation
A multiple of a number is the product of that number and an integer. To determine whether a number is a multiple of 8, divide the number by 8. If the result is a whole number with no remainder, then it qualifies as a multiple of 8.
Examine the first list: 2, 4, 8.
- 2 ÷ 8 = 0.25 (not a multiple)
- 4 ÷ 8 = 0.5 (not a multiple)
- 8 ÷ 8 = 1 (this is a multiple)
Only one value, 8, qualifies. This list does not contain only multiples of 8.
Next, examine 24, 32, 40.
- 24 ÷ 8 = 3 (multiple)
- 32 ÷ 8 = 4 (multiple)
- 40 ÷ 8 = 5 (multiple)
All three numbers divide evenly by 8. This list contains only multiples of 8.
Now, review 32, 96, 108.
- 32 ÷ 8 = 4 (multiple)
- 96 ÷ 8 = 12 (multiple)
- 108 ÷ 8 = 13.5 (not a multiple)
Since 108 is not divisible by 8 without a remainder, this list fails the requirement.
Lastly, check 34, 42, 50.
- 34 ÷ 8 = 4.25 (not a multiple)
- 42 ÷ 8 = 5.25 (not a multiple)
- 50 ÷ 8 = 6.25 (not a multiple)
None of these numbers are divisible by 8. This list includes no multiples.
Thus, among the given options, only 24, 32, 40 includes values that are all divisible evenly by 8. Therefore, this is the correct list containing only multiples of 8.
