Question

The number 920 is divisible by:
(1 point)
Responses

2, 3, 4, 6
2, 3, 4, 6

2, 3, 6
2, 3, 6

2, 4, 5, 10
2, 4, 5, 10

2, 3, 5, 6, 9, 10

Answer 1

To determine which of the given options contains numbers that are divisible by 920, we can check for divisibility by each number in the options provided.

1. **Divisibility by 2**: 920 is even, so it is divisible by 2.
2. **Divisibility by 3**: The sum of the digits of 920 (9 + 2 + 0 = 11) is not divisible by 3, so 920 is **not** divisible by 3.
3. **Divisibility by 4**: The last two digits (20) form the number 20, which is divisible by 4, so 920 is divisible by 4.
4. **Divisibility by 5**: The last digit is 0, making it divisible by 5.
5. **Divisibility by 6**: Since 920 is not divisible by 3, it is also **not** divisible by 6.
6. **Divisibility by 9**: The sum of the digits (11) is also not divisible by 9, hence 920 is not divisible by 9.
7. **Divisibility by 10**: The last digit is 0, so 920 is divisible by 10.

Now, we assess the provided options:

- **Option 1**: 2, 3, 4, 6 - Only 2 and 4 are valid.
- **Option 2**: 2, 3, 6 - Only 2 is valid.
- **Option 3**: 2, 4, 5, 10 - All are valid.
- **Option 4**: 2, 3, 5, 6, 9, 10 - Only 2, 5, and 10 are valid.

Therefore, the only option that includes all correct divisors of 920 is **Option 3: 2, 4, 5, 10**.