To solve the problem of determining whether each number is a
prime number or a
composite number, we need to understand the definitions:
-
Prime Number: A number greater than 1 that has exactly two distinct positive divisors: 1 and itself.
-
Composite Number: A number greater than 1 that has more than two distinct positive divisors.
Step-by-Step Solution:
#### 1.
33
- Divisors: 1, 3, 11, 33
- Since 33 has more than two divisors (1, 3, 11, 33), it is a
composite number.
#### 2.
7
- Divisors: 1, 7
- Since 7 has exactly two divisors (1 and 7), it is a
prime number.
#### 3.
41
- Divisors: 1, 41
- Since 41 has exactly two divisors (1 and 41), it is a
prime number.
#### 4.
10
- Divisors: 1, 2, 5, 10
- Since 10 has more than two divisors (1, 2, 5, 10), it is a
composite number.
#### 5.
52
- Divisors: 1, 2, 4, 13, 26, 52
- Since 52 has more than two divisors (1, 2, 4, 13, 26, 52), it is a
composite number.
#### 6.
37
- Divisors: 1, 37
- Since 37 has exactly two divisors (1 and 37), it is a
prime number.
#### 7.
13
- Divisors: 1, 13
- Since 13 has exactly two divisors (1 and 13), it is a
prime number.
#### 8.
76
- Divisors: 1, 2, 4, 19, 38, 76
- Since 76 has more than two divisors (1, 2, 4, 19, 38, 76), it is a
composite number.
#### 9.
97
- Divisors: 1, 97
- Since 97 has exactly two divisors (1 and 97), it is a
prime number.
#### 10.
83
- Divisors: 1, 83
- Since 83 has exactly two divisors (1 and 83), it is a
prime number.
#### 11.
38
- Divisors: 1, 2, 19, 38
- Since 38 has more than two divisors (1, 2, 19, 38), it is a
composite number.
#### 12.
12
- Divisors: 1, 2, 3, 4, 6, 12
- Since 12 has more than two divisors (1, 2, 3, 4, 6, 12), it is a
composite number.
#### 13.
66
- Divisors: 1, 2, 3, 6, 11, 22, 33, 66
- Since 66 has more than two divisors (1, 2, 3, 6, 11, 22, 33, 66), it is a
composite number.
#### 14.
3
- Divisors: 1, 3
- Since 3 has exactly two divisors (1 and 3), it is a
prime number.
Final Answer:
\[
\boxed{
\begin{array}{ll}
1. \text{33} & \text{Composite} \\
2. \text{7} & \text{Prime} \\
3. \text{41} & \text{Prime} \\
4. \text{10} & \text{Composite} \\
5. \text{52} & \text{Composite} \\
6. \text{37} & \text{Prime} \\
7. \text{13} & \text{Prime} \\
8. \text{76} & \text{Composite} \\
9. \text{97} & \text{Prime} \\
10. \text{83} & \text{Prime} \\
11. \text{38} & \text{Composite} \\
12. \text{12} & \text{Composite} \\
13. \text{66} & \text{Composite} \\
14. \text{3} & \text{Prime} \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of prime number worksheet 4th grade.
