To determine which of the provided numbers (3, 2, 5, 6) 88 is divisible by, we can check each option:
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Divisibility by 3: A number is divisible by 3 if the sum of its digits is divisible by 3.
- Sum of digits of 88: \(8 + 8 = 16\)
- 16 is not divisible by 3.
- So, 88 is not divisible by 3.
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Divisibility by 2: A number is divisible by 2 if it is even.
- 88 is even.
- So, 88 is divisible by 2.
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Divisibility by 5: A number is divisible by 5 if it ends in 0 or 5.
- 88 ends in 8.
- So, 88 is not divisible by 5.
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Divisibility by 6: A number is divisible by 6 if it is divisible by both 2 and 3.
- We already established that 88 is divisible by 2, but not by 3.
- So, 88 is not divisible by 6.
From the options given, the only number that 88 is divisible by is 2.