Examine the following number for divisibility by 6:
93573

Answer

To determine if the number 93573 is divisible by 6, we need to check if it is divisible by both 2 and 3.

### Step 1: Check for divisibility by 3
To check if a number is divisible by 3, we find the sum of its digits and see if that sum is divisible by 3.

1. **Calculate the sum of the digits of 93573:**
- Digits: 9, 3, 5, 7, 3
- Sum = 9 + 3 + 5 + 7 + 3 = 27

2. **Check if 27 is divisible by 3:**
- Since 27 ÷ 3 = 9, which is a whole number, 27 is divisible by 3.

**Conclusion for Step 1:** The number 93573 is divisible by 3.

### Step 2: Check for divisibility by 2
To check if a number is divisible by 2, we look at its last digit. A number is divisible by 2 if its last digit is even (0, 2, 4, 6, or 8).

1. **Identify the last digit of 93573:**
- The last digit is 3.

2. **Check if 3 is even:**
- Since 3 is an odd number, it is not divisible by 2.

**Conclusion for Step 2:** The number 93573 is not divisible by 2.

### Final Conclusion
Since 93573 is divisible by 3 but not divisible by 2, it cannot be divisible by 6. A number must be divisible by both 2 and 3 to be divisible by 6.

**Final Answer:** The number 93573 is not divisible by 6.

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