Number which is divisible by 2 but not by 4

To understand numbers that are divisible by 2 but not by 4, we need to have a clear understanding of divisibility and the properties of these numbers. Let's break down the concept step by step.

Divisibility
Divisibility refers to the ability of one number to be divided by another number without leaving a remainder. When a number can be divided evenly by another number, it is said to be divisible by that number.

Divisibility by 2
A number is divisible by 2 if it can be divided evenly by 2, without leaving a remainder. In other words, the last digit of the number must be an even number (0, 2, 4, 6, or 8) for it to be divisible by 2.

Divisibility by 4
A number is divisible by 4 if it can be divided evenly by 4, without leaving a remainder. In this case, the last two digits of the number must form a number that is divisible by 4. For example, the number 124 is divisible by 4 because the last two digits, 24, form a number that is divisible by 4.

Numbers divisible by 2 but not by 4
Now that we understand the concepts of divisibility by 2 and 4, let's focus on numbers that are divisible by 2 but not by 4. These numbers have some specific properties that differentiate them from numbers divisible by both 2 and 4.

Properties of numbers divisible by 2 but not by 4
1. The last digit of the number must be an even number (0, 2, 4, 6, or 8) for it to be divisible by 2.
2. The last two digits of the number must not form a number that is divisible by 4.

Examples of numbers divisible by 2 but not by 4
1. 10: The last digit is 0, which is an even number, making it divisible by 2. However, the last two digits, 10, do not form a number divisible by 4.
2. 14: The last digit is 4, which is an even number, making it divisible by 2. The last two digits, 14, also do not form a number divisible by 4.
3. 22: The last digit is 2, which is an even number, making it divisible by 2. The last two digits, 22, do not form a number divisible by 4.

Conclusion
In conclusion, numbers that are divisible by 2 but not by 4 have the property of having an even last digit but not forming a number divisible by 4 with their last two digits. These numbers are a subset of numbers divisible by 2 and can be identified by their specific properties.