Test the divisibility of each of the following numbers by 2:
(i) 9 (ii) 570 (iii) 285 (iv) 2398 (v) 79532 (vi) 13576 (vii) 46821 (viii) 84663 (ix) 66669

Answer

To determine the divisibility of each number by 2, we need to check the digit in the unit's place (the last digit) of each number. A number is divisible by 2 if its last digit is one of the following: 0, 2, 4, 6, or 8 (these are even digits).

Let's go through each number step by step:

### Step-by-Step Solution:

1. **Number: 9**
- Last digit: 9
- Since 9 is odd, **9 is not divisible by 2**.

2. **Number: 570**
- Last digit: 0
- Since 0 is even, **570 is divisible by 2**.

3. **Number: 285**
- Last digit: 5
- Since 5 is odd, **285 is not divisible by 2**.

4. **Number: 2398**
- Last digit: 8
- Since 8 is even, **2398 is divisible by 2**.

5. **Number: 79532**
- Last digit: 2
- Since 2 is even, **79532 is divisible by 2**.

6. **Number: 13576**
- Last digit: 6
- Since 6 is even, **13576 is divisible by 2**.

7. **Number: 46821**
- Last digit: 1
- Since 1 is odd, **46821 is not divisible by 2**.

8. **Number: 84663**
- Last digit: 3
- Since 3 is odd, **84663 is not divisible by 2**.

9. **Number: 66669**
- Last digit: 9
- Since 9 is odd, **66669 is not divisible by 2**.

### Summary of Results:
- 9: Not divisible by 2
- 570: Divisible by 2
- 285: Not divisible by 2
- 2398: Divisible by 2
- 79532: Divisible by 2
- 13576: Divisible by 2
- 46821: Not divisible by 2
- 84663: Not divisible by 2
- 66669: Not divisible by 2