Divisibility Rule for 6

Question

ScanSolve AI Tutor · Accepted Answer

✅ Correct.

Your work is accurate. Here's a breakdown of the divisibility test for 6:

Divisibility Rule for 6
A number is divisible by 6 if it is divisible by both 2 and 3.
Check divisibility by 2 for 764
A number is divisible by 2 if its last digit is an even number.
The last digit of 764 is 4, which is an even number.
Therefore, 764 is divisible by 2. You correctly identified this.
Check divisibility by 3 for 764
A number is divisible by 3 if the sum of its digits is divisible by 3.
Sum of digits for 764: $7 + 6 + 4 = 17$ .
Since 17 is not divisible by 3 ( $17 \div 3 = 5$ with a remainder of 2), 764 is not divisible by 3. You correctly identified this.
Conclude divisibility by 6
Since 764 is divisible by 2 but not by 3, it is not divisible by 6. Your conclusion is correct.

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