How many of the following numbers are divisible by 32?
192, 1008, 832, 656, 1264, 1822

Options

A. 2
B. 3
C. 4
D. 5

Answer

To determine how many of the given numbers are divisible by 32, we can follow these steps:

### Step 1: List the numbers
We have the following numbers to check for divisibility by 32:
- 192
- 1008
- 832
- 656
- 1264
- 1822

### Step 2: Check divisibility by 32
To check if a number is divisible by 32, we can divide each number by 32 and see if the result is an integer (i.e., if there is no remainder).

#### Checking each number:

1. **192**:
\[ 192 \div 32 = 6 \quad (\text{No remainder, so divisible by } 32) \]

2. **1008**:
\[ 1008 \div 32 = 31.5 \quad (\text{Remainder, so not divisible by } 32) \]

3. **832**:
\[ 832 \div 32 = 26 \quad (\text{No remainder, so divisible by } 32) \]

4. **656**:
\[ 656 \div 32 = 20.5 \quad (\text{Remainder, so not divisible by } 32) \]

5. **1264**:
\[ 1264 \div 32 = 39.5 \quad (\text{Remainder, so not divisible by } 32) \]

6. **1822**:
\[ 1822 \div 32 = 57.5625 \quad (\text{Remainder, so not divisible by } 32) \]

### Step 3: Count the numbers that are divisible by 32
From our checks:
- 192 is divisible by 32.
- 1008 is not divisible by 32.
- 832 is divisible by 32.
- 656 is not divisible by 32.
- 1264 is not divisible by 32.
- 1822 is not divisible by 32.

Thus, the numbers that are divisible by 32 are **192 and 832**.

### Conclusion
The total count of numbers that are divisible by 32 is **2**.

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