Which of the following numbers are divisible by 3 or 9:
12345678

Answer

To determine whether the number 12345678 is divisible by 3 or 9, we will follow these steps:

### Step 1: Identify the digits of the number
The number given is 12345678. The digits are: 1, 2, 3, 4, 5, 6, 7, 8.

### Step 2: Calculate the sum of the digits
We will add all the digits together:
- 1 + 2 = 3
- 3 + 3 = 6
- 6 + 4 = 10
- 10 + 5 = 15
- 15 + 6 = 21
- 21 + 7 = 28
- 28 + 8 = 36

So, the sum of the digits is 36.

### Step 3: Check divisibility by 3
According to the rule of divisibility for 3, if the sum of the digits is divisible by 3, then the number is divisible by 3.
- Now, we check if 36 is divisible by 3:
- 36 ÷ 3 = 12 (which is a whole number)

Since 36 is divisible by 3, the number 12345678 is also divisible by 3.

### Step 4: Check divisibility by 9
According to the rule of divisibility for 9, if the sum of the digits is divisible by 9, then the number is divisible by 9.
- Now, we check if 36 is divisible by 9:
- 36 ÷ 9 = 4 (which is a whole number)

Since 36 is divisible by 9, the number 12345678 is also divisible by 9.

### Conclusion
The number 12345678 is divisible by both 3 and 9.

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