To determine which numbers 88 is divisible by, we can check each of the options provided:
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6: A number is divisible by 6 if it is divisible by both 2 and 3.
- 88 is even, so it is divisible by 2.
- To check for divisibility by 3, add the digits of 88: 8 + 8 = 16. Since 16 is not divisible by 3, 88 is not divisible by 6.
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3: A number is divisible by 3 if the sum of its digits is divisible by 3.
- As calculated before, 8 + 8 = 16, which is not divisible by 3. Thus, 88 is not divisible by 3.
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5: A number is divisible by 5 if it ends in 0 or 5.
- 88 ends in 8, so it is not divisible by 5.
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2: A number is divisible by 2 if it is even.
- 88 is even, so it is divisible by 2.
Based on the checks above, the only number that 88 is divisible by is 2.