Which of the following numbers is divisible by 6?
(1 point)
Responses
3,246
3,246
9,787
9,787
8,752
8,752
5,967
The number 8,752 is divisible by 6.
To determine if a number is divisible by 6, we need to check if it is divisible by both 2 and 3.
Let's check each of the given numbers:
3,246 - To check if a number is divisible by 6, it should be divisible by both 2 and 3. The sum of the digits (3 + 2 + 4 + 6) is 15, which is divisible by 3. Also, the last digit is even, which means the number is divisible by 2. Therefore, 3,246 is divisible by 6.
9,787 - The sum of the digits (9 + 7 + 8 + 7) is 31, which is not divisible by 3. Also, the last digit is odd, which means it is not divisible by 2. Therefore, 9,787 is not divisible by 6.
8,752 - The sum of the digits (8 + 7 + 5 + 2) is 22, which is not divisible by 3. Also, the last digit is even, so it is divisible by 2. However, since it is not divisible by 3, it is not divisible by 6.
5,967 - The sum of the digits (5 + 9 + 6 + 7) is 27, which is divisible by 3. Also, the last digit is odd, so it is not divisible by 2. Therefore, 5,967 is not divisible by 6.
Out of the given numbers, only 3,246 is divisible by 6.