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Welcome to our Math lesson on Divisibility by 18, this is the eighteenth lesson of our suite of math lessons covering the topic of Divisibility Rules, you can find links to the other lessons within this tutorial and access additional Math learning resources below this lesson.
Divisibility by 18
Rule: "A number is divisible by 18 if it is divisible by both 2 and 9."
This means (1) the number must be even, and (2) the sum of digits is divisible by 9.
For example, the number 194,976 is divisible by 18 as it is an even number (ends with 6) and the sum of its digits (1 + 9 + 4 + 9 + 7 + 6 = 36) is a multiple of 9 (36 ÷ 9 = 4).
On the other hand, 7803 is not divisible by 18 as it is an odd number, regardless the sum of digits is divisible by 9 (7 + 8 + 0 + 3 = 18 ÷ 9 = 2).
Likewise, 65,892 is not divisible by 18 because despite the fact that it is an even number (it ends with 2), the sum of its digits is not divisible by 9, as 6 + 5 + 8 + 9 + 2 = 30.
The calculator gives 194,976 ÷ 18 = 10,832; 7803 ÷ 18 = 433.5; and 65,892 ÷ 18 = 3660.666..., results that confirm the correctness of our solution.
More Divisibility Rules Lessons and Learning Resources
Arithmetic Learning Material| Tutorial ID | Math Tutorial Title | Tutorial | Video
Tutorial | Revision
Notes | Revision
Questions |
|---|
| 1.6 | Divisibility Rules | | | | |
| Lesson ID | Math Lesson Title | Lesson | Video
Lesson |
|---|
| 1.6.1 | Divisibility by 1 | | |
| 1.6.2 | Divisibility by 2 | | |
| 1.6.3 | Divisibility by 3 | | |
| 1.6.4 | Divisibility by 4 | | |
| 1.6.5 | Divisibility by 5 | | |
| 1.6.6 | Divisibility by 6 | | |
| 1.6.7 | Divisibility by 7 | | |
| 1.6.8 | Divisibility by 8 | | |
| 1.6.9 | Divisibility by 9 | | |
| 1.6.10 | Divisibility by 10 | | |
| 1.6.11 | Divisibility by 11 | | |
| 1.6.12 | Divisibility by 12 | | |
| 1.6.13 | Divisibility by 13 | | |
| 1.6.14 | Divisibility by 14 | | |
| 1.6.15 | Divisibility by 15 | | |
| 1.6.16 | Divisibility by 16 | | |
| 1.6.17 | Divisibility by 17 | | |
| 1.6.18 | Divisibility by 18 | | |
| 1.6.19 | Divisibility by 19 | | |
| 1.6.20 | Divisibility by 20 | | |
| 1.6.21 | Other Divisibility Rules. How Relatively Prime Numbers Determine the Divisibility Rules. | | |
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- Arithmetic Revision Notes: Divisibility Rules. Print the notes so you can revise the key points covered in the math tutorial for Divisibility Rules
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- Continuing learning arithmetic - read our next math tutorial: Decimal Number System and Other Numbering Systems
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