Which of the following numbers is divisible by 6?

Question

Accepted Answer

A number is divisible by 6 if and only if it is divisible by both 2 and 3.

Step 1: Check divisibility by 2 (number must be even).
- 128530 ends with 0 (even) → divisible by 2
- 12581 ends with 1 (odd) → not divisible by 2
- 438750 ends with 0 (even) → divisible by 2
- 62233 ends with 3 (odd) → not divisible by 2

Step 2: Check divisibility by 3 (sum of digits divisible by 3).
- 128530: sum = 1+2+8+5+3+0 = 19 (not divisible by 3)
- 438750: sum = 4+3+8+7+5+0 = 27 (divisible by 3)

Only 438750 satisfies both conditions, so it is divisible by 6.

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