Check the divisibility of the given numbers as indicated
`675344` by `8`

Options

A. Divisible
B. Not divisible
C. Cannot be determined
D. None of the above

Answer

To check the divisibility of the number `675344` by `8`, we can follow these steps:

### Step 1: Identify the last three digits of the number
The number given is `675344`. The last three digits of this number are `344`.

**Hint:** When checking divisibility by 8, you only need to focus on the last three digits of the number.

### Step 2: Check if the last three digits (344) are divisible by 8
Now, we need to divide `344` by `8` to see if it is divisible.

**Hint:** Use long division or multiplication to determine if `344` can be evenly divided by `8`.

### Step 3: Perform the division
Let's divide `344` by `8`:
- 8 goes into 34 four times (since 8 × 4 = 32).
- Subtract 32 from 34, which gives us `2`.
- Bring down the next digit (4), making it `24`.
- 8 goes into 24 three times (since 8 × 3 = 24).
- Subtract 24 from 24, which gives us `0`.

So, `344 ÷ 8 = 43` with a remainder of `0`.

**Hint:** If the remainder is `0`, then the number is divisible by `8`.

### Step 4: Conclusion
Since `344` is divisible by `8` (as it gives a remainder of `0`), we can conclude that the original number `675344` is also divisible by `8`.

**Final Answer:** Yes, `675344` is divisible by `8`.