state whether the statement are true (T) or false (F)
If a number is divisible by 2 and 4, then it will be divisible by 8.

Answer

To determine whether the statement "If a number is divisible by 2 and 4, then it will be divisible by 8" is true or false, we can analyze it step by step.

### Step-by-Step Solution:

1. **Understanding Divisibility**:
- A number is said to be divisible by another number if, when divided, it results in a whole number (no remainder).
- In this case, we need to check if a number divisible by both 2 and 4 is also divisible by 8.

2. **Choosing a Number**:
- Let's take an example number, say 36. We will check if it meets the conditions of the statement.

3. **Checking Divisibility by 2**:
- To check if 36 is divisible by 2, we divide it by 2:
\[ 36 \div 2 = 18 \]
- Since 18 is a whole number, 36 is divisible by 2.

4. **Checking Divisibility by 4**:
- Now, we check if 36 is divisible by 4:
\[ 36 \div 4 = 9 \]
- Since 9 is a whole number, 36 is also divisible by 4.

5. **Checking Divisibility by 8**:
- Finally, we check if 36 is divisible by 8:
\[ 36 \div 8 = 4.5 \]
- Since 4.5 is not a whole number, 36 is not divisible by 8.

6. **Conclusion**:
- We found that 36 is divisible by both 2 and 4, but not by 8. Therefore, the statement "If a number is divisible by 2 and 4, then it will be divisible by 8" is **false**.

### Final Answer:
The statement is **False (F)**.