Which of the following numbers are divisible by 4 and by 8?
78636

Answer

To determine whether the number 78636 is divisible by both 4 and 8, we will follow these steps:

### Step 1: Check divisibility by 4
According to the divisibility rule for 4, a number is divisible by 4 if the last two digits of the number form a number that is divisible by 4.

- The last two digits of 78636 are **36**.
- Now, we check if 36 is divisible by 4:
- \( 36 \div 4 = 9 \) (which is a whole number)

Since 36 is divisible by 4, we conclude that **78636 is divisible by 4**.

### Step 2: Check divisibility by 8
According to the divisibility rule for 8, a number is divisible by 8 if the last three digits of the number form a number that is divisible by 8.

- The last three digits of 78636 are **636**.
- Now, we check if 636 is divisible by 8:
- \( 636 \div 8 = 79.5 \)

Since 636 does not divide evenly by 8 (the result is not a whole number), we conclude that **78636 is not divisible by 8**.

### Conclusion
- The number **78636 is divisible by 4** but **not divisible by 8**.

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