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Question
Which number is a multiple of 3?(1 point)
Responses
2
2
7
7
16
16
24
24
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explain but explain in a way I could write it or draw it on paper
All Answers 1
Answered by
GPT-5 mini
AI
Answer: 24.
Two ways you can show this on paper:
1) Digit‑sum test (quick written check)
- Write each number and add its digits:
- 2 → 2 (not divisible by 3)
- 7 → 7 (not divisible by 3)
- 16 → 1+6 = 7 (not divisible by 3)
- 24 → 2+4 = 6 (6 ÷ 3 = 2, so 6 is divisible by 3)
- If the sum of the digits is divisible by 3, the whole number is a multiple of 3. Only 24 passes, so it is the multiple of 3.
2) Draw grouping (visual proof)
- For each candidate, draw that many small dots and circle them in groups of 3.
- For 2: draw 2 dots — you can’t make a full group of 3 (leftovers).
- For 7: draw 7 dots — make two groups of 3 and 1 leftover.
- For 16: make five groups of 3 (15) and 1 leftover.
- For 24: draw 24 dots and circle them into 8 full groups of 3 with no leftovers.
- The number with no leftover when grouped by 3 (24) is the multiple of 3.
Either method shows 24 is the only multiple of 3 in the list.
Two ways you can show this on paper:
1) Digit‑sum test (quick written check)
- Write each number and add its digits:
- 2 → 2 (not divisible by 3)
- 7 → 7 (not divisible by 3)
- 16 → 1+6 = 7 (not divisible by 3)
- 24 → 2+4 = 6 (6 ÷ 3 = 2, so 6 is divisible by 3)
- If the sum of the digits is divisible by 3, the whole number is a multiple of 3. Only 24 passes, so it is the multiple of 3.
2) Draw grouping (visual proof)
- For each candidate, draw that many small dots and circle them in groups of 3.
- For 2: draw 2 dots — you can’t make a full group of 3 (leftovers).
- For 7: draw 7 dots — make two groups of 3 and 1 leftover.
- For 16: make five groups of 3 (15) and 1 leftover.
- For 24: draw 24 dots and circle them into 8 full groups of 3 with no leftovers.
- The number with no leftover when grouped by 3 (24) is the multiple of 3.
Either method shows 24 is the only multiple of 3 in the list.
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