Which of the following numbers are divisible by 4 and by 8?
444184

Answer

To determine if the number 444184 is divisible by both 4 and 8, we can follow these steps:

### Step 1: Check Divisibility by 8
To check if a number is divisible by 8, we look at the last three digits of the number. If the last three digits form a number that is divisible by 8, then the entire number is divisible by 8.

**Last three digits of 444184:**
- The last three digits are 184.

**Now, we check if 184 is divisible by 8:**
- We can divide 184 by 8:
\[ 184 \div 8 = 23 \]
- Since 23 is a whole number, 184 is divisible by 8.

### Step 2: Conclusion on Divisibility by 8
Since 184 is divisible by 8, we conclude that 444184 is also divisible by 8.

### Step 3: Check Divisibility by 4
Next, we check if the number is divisible by 4. To check if a number is divisible by 4, we look at the last two digits of the number. If the last two digits form a number that is divisible by 4, then the entire number is divisible by 4.

**Last two digits of 444184:**
- The last two digits are 84.

**Now, we check if 84 is divisible by 4:**
- We can divide 84 by 4:
\[ 84 \div 4 = 21 \]
- Since 21 is a whole number, 84 is divisible by 4.

### Step 4: Conclusion on Divisibility by 4
Since 84 is divisible by 4, we conclude that 444184 is also divisible by 4.

### Final Conclusion
Since 444184 is divisible by both 4 and 8, we can confidently say that the number 444184 is divisible by both.

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