Check the divisibility of the given numbers, as indicated. Using tests for divisibility.
457209 by 3

Answer

To check the divisibility of the number 457209 by 3, we will follow these steps:

### Step 1: Identify the number
We are given the number **457209**.

### Step 2: Apply the divisibility rule for 3
The rule states that a number is divisible by 3 if the sum of its digits is divisible by 3.

### Step 3: Find the sum of the digits
We will add the digits of the number 457209:
- The digits are: 4, 5, 7, 2, 0, 9.
- Now, we calculate the sum:
- \( 4 + 5 = 9 \)
- \( 9 + 7 = 16 \)
- \( 16 + 2 = 18 \)
- \( 18 + 0 = 18 \)
- \( 18 + 9 = 27 \)

So, the sum of the digits is **27**.

### Step 4: Check if the sum is divisible by 3
Now we need to check if 27 is divisible by 3:
- We can divide 27 by 3:
- \( 27 \div 3 = 9 \)

Since 9 is a whole number, this means that 27 is divisible by 3.

### Step 5: Conclusion
Since the sum of the digits (27) is divisible by 3, we conclude that the number **457209 is divisible by 3**.

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