Divisibility Test: Is 876 Divisible by 6?

To solve this problem, we'll follow these steps:

• Step 1: Check divisibility by 2.
• Step 2: Check divisibility by 3.
• Step 3: Conclude divisibility by 6 based on Steps 1 and 2.

Now, let's work through each step:

Step 1: Check divisibility by 2.
The last digit of 876 is 6, which is an even number. Thus, 876 is divisible by 2.

Step 2: Check divisibility by 3.
The sum of the digits is $8 + 7 + 6 = 21$.
Check if 21 is divisible by 3: divide $21 \div 3 = 7$, which is a whole number. Thus, 21 is divisible by 3, so 876 is also divisible by 3.

Step 3: Conclude divisibility by 6.
Since 876 is divisible by both 2 and 3, it is also divisible by 6.

Therefore, the number 876 is divisible by 6, and the answer to the problem is Yes.