Which of the following number is completely divisible by 8?

Options

A. 2564
B. 2560
C. 2970
D. 3894

Answer

To determine which of the following numbers is completely divisible by 8, we will use the divisibility rule for 8. According to this rule, a number is divisible by 8 if the number formed by its last three digits is divisible by 8.

Let's evaluate each option:

1. **2564**:
- Last three digits: 564
- Check if 564 is divisible by 8:
- \( 564 \div 8 = 70.5 \) (not divisible)

2. **2560**:
- Last three digits: 560
- Check if 560 is divisible by 8:
- \( 560 \div 8 = 70 \) (divisible)

3. **2970**:
- Last three digits: 970
- Check if 970 is divisible by 8:
- \( 970 \div 8 = 121.25 \) (not divisible)

4. **3894**:
- Last three digits: 894
- Check if 894 is divisible by 8:
- \( 894 \div 8 = 111.75 \) (not divisible)

After checking all the options, we find that only **2560** is completely divisible by 8.

### Final Answer:
The number that is completely divisible by 8 is **2560**.