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Welcome to our Math lesson on Divisibility by 10, this is the tenth 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 10
Rule: "A number is divisible by 10 if it ends with zero."
For example, 37860 is divisible by 10 as it ends with zero, while 791568 is not divisible by 10 as it does not end with zero.
When using the calculator to confirm the results, we obtain 37860 ÷ 10 = 3786, while 791568 ÷ 10 = 79156.8.
Obviously, a number divisible by 10 is also divisible by 5 and 2.
Example 2
Check whether the following number are divisible by 7, 8, 9 and 10.
- 105,840
- 6,170,247
Solution 2
- 105,840 IS divisible by 7 because 2 × 0 - 10,584 = -10,584 ÷ 7 = 1512. If we are not sure about the last division, we repeat again the same procedure until we obtain a suitable number. Hence, we have to check whether 10,584 is divisible by 7 (forget the minus), i.e. 2 × 4 - 1058 = -1050. Again, 2 × 0 - 105 = -105. Finally, 2 × 5 - 10 = 0. Now we are sure that the original number is divisible by 7.
105,840 IS divisible by 8 because 840 ÷ 8 = 105.
105,840 IS divisible by 9 because 1 + 0 + 5 + 8 + 4 + 0 = 18 ÷ 9 = 2.
105,840 IS divisible by 10 because it ends with 0. - 6,170,247 is NOT divisible by 7. Let's check this by following the known procedure (multiplying the last digit by 2 and subtracting the rest of the original number from it) a number of times until we obtain a suitable result. We have 2 × 7 - 617,024 = -617,010, then 2 × 0 - 61,701 = -61701, then 2 × 1 - 6170 = -6168, then 2 × 8 - 616 = -600, then 2 × 0 - 60 = -60, which is not a number divisible by 7.
6,170,247 is NOT divisible by 8 because 247 is not divisible by 8 as it is an odd number.
6,170,247 IS divisible by 9 as 6 + 1 + 7 + 0 + 2 + 4 + 7 = 27, which is a number divisible by 9.
6,179,247 is NOT divisible by 10, as it does not end with zero.
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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Enjoy the "Divisibility by 10" math lesson? People who liked the "Divisibility Rules lesson found the following resources useful:
- Divide By 10 Feedback. Helps other - Leave a rating for this divide by 10 (see below)
- 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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