**Definition of Carroll Diagram**

- A Carroll Diagram is a diagram used to sort objects and numbers, based on certain properties.

**More about Carroll Diagram**

- Carroll diagram is named after famous author Lewis Carroll (alias name of Charles Lutwidge Dodgson).

**Example of Carroll Diagram**

- By using the attributes
**Prime**and**Not prime**, the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9 can be represented by Carroll diagram as:

**Solved Example on Carroll Diagram**

Identify the Carroll diagram for the factors of 18 and 20 with the attributes as ‘even’ and ‘odd’.

Choices:

A. Figure 1

B. Figure 2

C. Figure 3

D. Figure 4

Correct Answer: C

Solution:

Step 1:Write the factors for each number.

18: 1, 2, 3, 6, 9, 18

20: 1, 2, 4, 5, 10, 20

Step 2:The factors of 18 with attribute ‘even’ is 2, 6, and 18.

Step 3:The factors of 18 with attribute ‘odd’ is 1, 3, and 9.

Step 4:The factors of 20 with attribute ‘even’ is 2, 4, 10, and 20.

Step 5:The factors of 20 with attribute ‘odd’ is 1 and 5.

Step 6:The ‘even’ and ‘odd’ attributes are correctly given in Figure 3.

Step 7:So, Figure 3 is the Carroll diagram for the factors of 18 and 20.

**Related Terms for Carroll Diagram**

- Number