There are 3 two-digit numbers that are divisible by 32.
Understanding divisibility is key to finding these numbers. A number is considered divisible by 32 if, when divided by 32, the result is a whole number without any remainder. Two-digit numbers range from 10 to 99.
What Does "Divisible By" Mean?
To be "divisible by 32" means the number is a multiple of 32. For example, 32 multiplied by 1, 2, 3, and so on, gives you its multiples.
When exploring numbers related to 32, it's important to distinguish between factors and multiples. For instance, while 16 is a factor of 32 (meaning 32 is divisible by 16, as 32 ÷ 16 = 2), 16 itself is not divisible by 32 (16 ÷ 32 = 0.5, which is not a whole number). Conversely, 32 is indeed divisible by 32, as 32 divided by 32 equals 1. This clarifies the direction of divisibility.
Identifying Two-Digit Multiples of 32
To find the two-digit numbers divisible by 32, we simply list the multiples of 32 and check if they fall within the range of 10 to 99.
Here's how we find them:
- First Multiple: Start with 32 multiplied by 1.
- 32 × 1 = 32 (This is a two-digit number)
- Second Multiple: Multiply 32 by 2.
- 32 × 2 = 64 (This is also a two-digit number)
- Third Multiple: Multiply 32 by 3.
- 32 × 3 = 96 (This remains a two-digit number)
- Fourth Multiple: Multiply 32 by 4.
- 32 × 4 = 128 (This is a three-digit number, exceeding our range of 10-99)
Therefore, we stop at the third multiple.
The Two-Digit Numbers Divisible by 32
The numbers are 32, 64, and 96.
This can be clearly seen in the following table:
| Multiple of 32 | Result | Is it a Two-Digit Number? |
|---|---|---|
| 32 × 1 | 32 | Yes |
| 32 × 2 | 64 | Yes |
| 32 × 3 | 96 | Yes |
| 32 × 4 | 128 | No |
Conclusion
By systematically listing the multiples of 32, we can easily identify the two-digit numbers that meet the criteria. The process involves simple multiplication and checking the number of digits.
