﻿ Definition and examples carroll diagram | define carroll diagram - algebra - Free Math Dictionary Online

# Carroll Diagram

## Definition of Carroll Diagram

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

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:

A. Figure 1
B. Figure 2
C. Figure 3
D. Figure 4

### 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.

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