What condition must a number meet to be divisible by 6?

Prepare for the FTCE Mathematics Grade 5-9 Test with targeted multiple choice questions and detailed explanations. Enhance your problem-solving skills and boost your confidence for the exam!

For a number to be divisible by 6, it must meet the conditions for divisibility by both 2 and 3.

To determine if a number is divisible by 2, it simply needs to be an even number, meaning it ends in 0, 2, 4, 6, or 8. This guarantees that the number can be evenly divided by 2.

For divisibility by 3, the rule is that the sum of the digits of the number must be divisible by 3. If this condition is satisfied, the number can be evenly divided by 3.

When a number meets both criteria—being even (divisible by 2) and having a sum of digits that is divisible by 3—it will be divisible by 6. This is why the correct answer is that a number must be divisible by both 2 and 3 to be considered divisible by 6.

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