Problem Overview:
The task is to determine whether each number in the image is
prime or
composite and then color the corresponding space accordingly:
-
Pink: Prime number
-
Blue: Composite number
Definitions:
-
Prime Number: A number greater than 1 that has no positive divisors other than 1 and itself.
-
Composite Number: A number greater than 1 that has at least one positive divisor other than 1 and itself.
Numbers in the Image:
The numbers are:
```
31, 15, 27, 33, 11, 5,
37, 15, 3, 7, 9, 42,
50, 14, 29, 4, 13, 17,
2, 25, 16, 41, 21
```
Step-by-Step Solution:
#### 1.
31
- Divisors: 1, 31
-
Prime
#### 2.
15
- Divisors: 1, 3, 5, 15
-
Composite
#### 3.
27
- Divisors: 1, 3, 9, 27
-
Composite
#### 4.
33
- Divisors: 1, 3, 11, 33
-
Composite
#### 5.
11
- Divisors: 1, 11
-
Prime
#### 6.
5
- Divisors: 1, 5
-
Prime
#### 7.
37
- Divisors: 1, 37
-
Prime
#### 8.
3
- Divisors: 1, 3
-
Prime
#### 9.
7
- Divisors: 1, 7
-
Prime
#### 10.
9
- Divisors: 1, 3, 9
-
Composite
#### 11.
42
- Divisors: 1, 2, 3, 6, 7, 14, 21, 42
-
Composite
#### 12.
50
- Divisors: 1, 2, 5, 10, 25, 50
-
Composite
#### 13.
14
- Divisors: 1, 2, 7, 14
-
Composite
#### 14.
29
- Divisors: 1, 29
-
Prime
#### 15.
4
- Divisors: 1, 2, 4
-
Composite
#### 16.
13
- Divisors: 1, 13
-
Prime
#### 17.
17
- Divisors: 1, 17
-
Prime
#### 18.
2
- Divisors: 1, 2
-
Prime
#### 19.
25
- Divisors: 1, 5, 25
-
Composite
#### 20.
16
- Divisors: 1, 2, 4, 8, 16
-
Composite
#### 21.
41
- Divisors: 1, 41
-
Prime
#### 22.
21
- Divisors: 1, 3, 7, 21
-
Composite
Final Coloring Guide:
-
Pink (Prime): 31, 11, 5, 37, 3, 7, 29, 13, 17, 2, 41
-
Blue (Composite): 15, 27, 33, 15, 9, 42, 50, 14, 4, 25, 16, 21
Final Answer:
\[
\boxed{
\text{Pink: 31, 11, 5, 37, 3, 7, 29, 13, 17, 2, 41}
}
\]
\[
\boxed{
\text{Blue: 15, 27, 33, 15, 9, 42, 50, 14, 4, 25, 16, 21}
}
\]
Parent Tip: Review the logic above to help your child master the concept of prime and composite numbers homework.