To solve the problem of determining whether each number is divisible by 4, we need to use the
divisibility rule for 4. The rule states:
> A number is divisible by 4 if the number formed by its last two digits is divisible by 4.
Let's apply this rule to each number in the list:
---
1. Is 4,516 divisible by 4?
- Last two digits:
16
- Check if 16 is divisible by 4:
\( 16 \div 4 = 4 \) (an integer)
-
Conclusion: Yes, 4,516 is divisible by 4.
---
2. Is 3,102 divisible by 4?
- Last two digits:
02
- Check if 02 is divisible by 4:
\( 2 \div 4 \neq \text{integer} \)
-
Conclusion: No, 3,102 is not divisible by 4.
---
3. Is 14,280 divisible by 4?
- Last two digits:
80
- Check if 80 is divisible by 4:
\( 80 \div 4 = 20 \) (an integer)
-
Conclusion: Yes, 14,280 is divisible by 4.
---
4. Is 550 divisible by 4?
- Last two digits:
50
- Check if 50 is divisible by 4:
\( 50 \div 4 \neq \text{integer} \)
-
Conclusion: No, 550 is not divisible by 4.
---
5. Is 29,292 divisible by 4?
- Last two digits:
92
- Check if 92 is divisible by 4:
\( 92 \div 4 = 23 \) (an integer)
-
Conclusion: Yes, 29,292 is divisible by 4.
---
6. Is 176 divisible by 4?
- Last two digits:
76
- Check if 76 is divisible by 4:
\( 76 \div 4 = 19 \) (an integer)
-
Conclusion: Yes, 176 is divisible by 4.
---
7. Is 909 divisible by 4?
- Last two digits:
09
- Check if 09 is divisible by 4:
\( 9 \div 4 \neq \text{integer} \)
-
Conclusion: No, 909 is not divisible by 4.
---
8. Is 990 divisible by 4?
- Last two digits:
90
- Check if 90 is divisible by 4:
\( 90 \div 4 \neq \text{integer} \)
-
Conclusion: No, 990 is not divisible by 4.
---
9. Is 8,888 divisible by 4?
- Last two digits:
88
- Check if 88 is divisible by 4:
\( 88 \div 4 = 22 \) (an integer)
-
Conclusion: Yes, 8,888 is divisible by 4.
---
10. Is 1,110 divisible by 4?
- Last two digits:
10
- Check if 10 is divisible by 4:
\( 10 \div 4 \neq \text{integer} \)
-
Conclusion: No, 1,110 is not divisible by 4.
---
Final Answers:
1.
YES
2.
NO
3.
YES
4.
NO
5.
YES
6.
YES
7.
NO
8.
NO
9.
YES
10.
NO
Boxed Answer:
\[
\boxed{
\begin{array}{ll}
1. & \text{YES} \\
2. & \text{NO} \\
3. & \text{YES} \\
4. & \text{NO} \\
5. & \text{YES} \\
6. & \text{YES} \\
7. & \text{NO} \\
8. & \text{NO} \\
9. & \text{YES} \\
10. & \text{NO} \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of divisibility rules worksheet 4th grade.
