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Welcome to our Math lesson on Divisibility by 17, this is the seventeenth 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 17
Rule: "A number is divisible by 17 if after multiplying the last digit by 5 and subtract it from the rest, the result is divisible by 17."
We can repeat this procedure more than once, until we get a suitable number. For example, 16,694 is divisible by 17 as 1669 - 4 × 5 = 1649; then 164 - 9 × 5 = 119, which is a number divisible by 17 as 119 ÷ 17 = 7. Therefore, the original number is also divisible by 17.
On the other hand, 7195 is not divisible by 17 as 719 - 5 × 5 = 694; then 69 - 4 × 5 = 49, which is not a number divisible by 17.
The calculator gives 16,694 ÷ 17 = 982; and 7195 ÷ 17 = 423.23529..., results that confirm the correct solution made.
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 Math tutorial: Divisibility Rules. Read the Divisibility Rules math tutorial and build your math knowledge of Arithmetic
- Arithmetic Video tutorial: Divisibility Rules. Watch or listen to the Divisibility Rules video tutorial, a useful way to help you revise when travelling to and from school/college
- Arithmetic Revision Notes: Divisibility Rules. Print the notes so you can revise the key points covered in the math tutorial for Divisibility Rules
- Arithmetic Practice Questions: Divisibility Rules. Test and improve your knowledge of Divisibility Rules with example questins and answers
- Check your calculations for Arithmetic questions with our excellent Arithmetic calculators which contain full equations and calculations clearly displayed line by line. See the Arithmetic Calculators by iCalculator™ below.
- Continuing learning arithmetic - read our next math tutorial: Decimal Number System and Other Numbering Systems
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