If a number is divisible by 2, then which of the following cannot be i...
If a number is divisible by 2, then 1 cannot be the one's digit in it. Each number has certain digits and its divisibility by another number depends on the position of those digits in the number. When dividing a number by 2, the number's one's or unit's digit should be
0, 4, 2, 6, or 8.
If a number is divisible by 2, then which of the following cannot be i...
Unit Digit of a Number Divisible by 2
The unit digit of a number plays a crucial role in determining whether the number is divisible by 2 or not. Let's explore which digits cannot be the unit digit of a number that is divisible by 2.
Explanation:
Divisibility by 2
- A number is divisible by 2 if the unit digit is an even number (0, 2, 4, 6, 8).
- This is because even numbers are multiples of 2, making it possible for the number to be evenly divided by 2.
Unit Digits that Cannot be Divisible by 2
- The unit digits that cannot be the unit digit of a number divisible by 2 are odd numbers (1, 3, 5, 7, 9).
- Odd numbers are not multiples of 2, so any number ending with an odd digit will not be divisible by 2.
Example:
- For instance, if we consider the number 36, it is divisible by 2 because the unit digit is 6, which is an even number.
- On the other hand, if we consider the number 37, it is not divisible by 2 because the unit digit is 7, which is an odd number.
Conclusion
- In conclusion, the unit digit of a number that is divisible by 2 cannot be an odd number (1, 3, 5, 7, 9) as odd numbers are not multiples of 2.
Understanding the concept of divisibility by 2 based on the unit digit of a number is essential in solving mathematical problems efficiently.
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