7 Times Table
Every fact in the 7 times table, the patterns that make it easier, and practice that keeps coming back to the ones you miss.
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Answers
7 × 8
56
7 rows of 8, or 8 rows of 7: both make 56.
- Turned round
- 8 × 7 = 56
- As division
- 56 ÷ 7 = 8
How this works: Method, 4 sources, Checked against 1 worked example,
How this works
Method
Seven has no doubling or halving shortcut of its own, which is why its facts are among the most missed. Split it instead: 7 is 5 + 2, so 7 × 8 is 5 × 8 = 40 plus 2 × 8 = 16, which makes 56. The Common Core uses exactly this example for the distributive property. Full method
Sources
- Common Core State Standards for Mathematics, Grade 3, 3.OA.B.5 (2010)
- Standards and Testing Agency, Multiplication tables check assessment framework (2018, updated 2022; Open Government Licence v3.0)
- Department for Education, National curriculum in England: mathematics programmes of study (2013)
- Common Core State Standards for Mathematics, Grade 3 (3.OA.B.5, 3.OA.C.7) (2010)
How it’s tested
One worked example for this page is checked by automated tests before every release: given the inputs, the tool must show the expected answer.
Changes
- First published: the chart from 1–10 to 1–20, practice with progress for each person, printable charts and sheets, the 2 to 12 tables and check practice.
Patterns and tricks in the 7 times table
Seven has no doubling or halving shortcut of its own, which is why its facts are among the most missed. Split it instead: 7 is 5 + 2, so 7 × 8 is 5 × 8 = 40 plus 2 × 8 = 16, which makes 56. The Common Core uses exactly this example for the distributive property.
By the time you reach the 7 table, most of its facts are already known from other tables turned round: 2 × 7, 3 × 7, 4 × 7, 5 × 7 and 6 × 7. Only 7 × 7 = 49, 7 × 8 = 56, 7 × 9 = 63, 7 × 11 = 77 and 7 × 12 = 84 are really new.
For 7 × 8 there is a memory line: 5, 6, 7, 8, because 56 = 7 × 8. The last digits of 7 × 1 to 7 × 10 (7, 4, 1, 8, 5, 2, 9, 6, 3, 0) use every digit once, so no two of those answers end the same way.
7 × n = 5 × n + 2 × n
- The Common Core’s own example of the distributive property is 8 × 7 = 8 × (5 + 2) = 40 + 16 = 56. Source: Common Core State Standards for Mathematics, Grade 3, 3.OA.B.5 (2010).
- The Standards and Testing Agency treats the 6, 7, 8, 9 and 12 tables as the hardest, and puts more of them in England’s year 4 multiplication tables check. Source: Standards and Testing Agency, Multiplication tables check assessment framework (2018, updated 2022; Open Government Licence v3.0).
The 7 times table, × 1 to × 20
The last digits of 7 × 1 to 7 × 10 use every digit once.
| Fact | Answer | Turned round | Division |
|---|---|---|---|
| 7 × 1 | 7 | 1 × 7 | 7 ÷ 7 = 1 |
| 7 × 2 | 14 | 2 × 7 | 14 ÷ 7 = 2 |
| 7 × 3 | 21 | 3 × 7 | 21 ÷ 7 = 3 |
| 7 × 4 | 28 | 4 × 7 | 28 ÷ 7 = 4 |
| 7 × 5 | 35 | 5 × 7 | 35 ÷ 7 = 5 |
| 7 × 6 | 42 | 6 × 7 | 42 ÷ 7 = 6 |
| 7 × 7 | 49 | 7 × 7 | 49 ÷ 7 = 7 |
| 7 × 8 | 56 | 8 × 7 | 56 ÷ 7 = 8 |
| 7 × 9 | 63 | 9 × 7 | 63 ÷ 7 = 9 |
| 7 × 10 | 70 | 10 × 7 | 70 ÷ 7 = 10 |
Show all 20 rowsShow fewer
| 7 × 11 | 77 | 11 × 7 | 77 ÷ 7 = 11 |
| 7 × 12 | 84 | 12 × 7 | 84 ÷ 7 = 12 |
| 7 × 13 | 91 | 13 × 7 | 91 ÷ 7 = 13 |
| 7 × 14 | 98 | 14 × 7 | 98 ÷ 7 = 14 |
| 7 × 15 | 105 | 15 × 7 | 105 ÷ 7 = 15 |
| 7 × 16 | 112 | 16 × 7 | 112 ÷ 7 = 16 |
| 7 × 17 | 119 | 17 × 7 | 119 ÷ 7 = 17 |
| 7 × 18 | 126 | 18 × 7 | 126 ÷ 7 = 18 |
| 7 × 19 | 133 | 19 × 7 | 133 ÷ 7 = 19 |
| 7 × 20 | 140 | 20 × 7 | 140 ÷ 7 = 20 |
Frequently Asked Questions
What is 7 × 8?
56. Remember it as 5, 6, 7, 8 (56 = 7 × 8), or work it out as 5 × 8 = 40 plus 2 × 8 = 16.
Why is the 7 times table hard?
Seven is odd, prime and not next to 10, so none of the doubling, halving or 10-based shortcuts apply directly. Splitting it into 5 + 2 turns every 7 fact into two easy ones.
Which 7 times table facts should I practise most?
The ones not covered by other tables: 7 × 7 = 49, 7 × 8 = 56, 7 × 9 = 63 and 7 × 12 = 84. Practice here brings back whichever ones you miss.