Which of the following numbers is not divisible by 8?

Options

A. 34672
B. 84132
C. 13456
D. 14568

Answer

To determine which of the given numbers is not divisible by 8, we will use the rule that states: a number is divisible by 8 if the last three digits of the number form a number that is divisible by 8.

Let's analyze each option step by step:

### Step 1: Identify the last three digits of each number
1. **Option A:** 34672 → Last three digits: 672
2. **Option B:** 84132 → Last three digits: 132
3. **Option C:** 13456 → Last three digits: 456
4. **Option D:** 14568 → Last three digits: 568

### Step 2: Check divisibility by 8 for each set of last three digits

#### For Option A: 672
- Divide 672 by 8:
\[ 672 \div 8 = 84 \]
- Since 84 is a whole number, **672 is divisible by 8**.

#### For Option B: 132
- Divide 132 by 8:
\[ 132 \div 8 = 16.5 \]
- Since 16.5 is not a whole number, **132 is not divisible by 8**.

#### For Option C: 456
- Divide 456 by 8:
\[ 456 \div 8 = 57 \]
- Since 57 is a whole number, **456 is divisible by 8**.

#### For Option D: 568
- Divide 568 by 8:
\[ 568 \div 8 = 71 \]
- Since 71 is a whole number, **568 is divisible by 8**.

### Conclusion
From our analysis, we find that the number **132** (from Option B) is not divisible by 8.

### Final Answer
The number that is not divisible by 8 is **84132**.

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