01 / Five plus two
5k + 2k
7 × 8 is 40 plus 16. That is 56.
Free tool
The 7 times table runs 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84. Read the table, see the last digit pattern, hide the answers to test yourself, take a scored quiz, or print a chart or practice sheet. No sign-up and no limit.
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How it works
01 / Five plus two
7 × 8 is 40 plus 16. That is 56.
02 / Last digits
Every digit appears once in ten steps, and the cycle repeats.
03 / Two left
Once you know the other tables, only 49 and 56 are left to learn.
Guide
The 7 times table lists the multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84 up to 7 × 12. It has no simple trick like the 5 or 9 table, but if you already know the other tables, most of it is facts you have met. The tool above shows the table, hides answers, runs a scored quiz, and prints a chart or sheet.
| Sum | Answer | A way to work it out |
|---|---|---|
| 7 × 1 | 7 | 5 × 1 = 5, plus 2 × 1 = 2, gives 7 |
| 7 × 2 | 14 | 5 × 2 = 10, plus 2 × 2 = 4, gives 14 |
| 7 × 3 | 21 | 5 × 3 = 15, plus 2 × 3 = 6, gives 21 |
| 7 × 4 | 28 | 5 × 4 = 20, plus 2 × 4 = 8, gives 28 |
| 7 × 5 | 35 | 5 × 5 = 25, plus 2 × 5 = 10, gives 35 |
| 7 × 6 | 42 | 5 × 6 = 30, plus 2 × 6 = 12, gives 42 |
| 7 × 7 | 49 | 5 × 7 = 35, plus 2 × 7 = 14, gives 49 |
| 7 × 8 | 56 | 5 × 8 = 40, plus 2 × 8 = 16, gives 56 |
| 7 × 9 | 63 | 5 × 9 = 45, plus 2 × 9 = 18, gives 63 |
| 7 × 10 | 70 | 5 × 10 = 50, plus 2 × 10 = 20, gives 70 |
| 7 × 11 | 77 | 5 × 11 = 55, plus 2 × 11 = 22, gives 77 |
| 7 × 12 | 84 | 5 × 12 = 60, plus 2 × 12 = 24, gives 84 |
Seven times 1, 2, 3, 4, 5 and 10 come from the easy tables. 7 × 6 = 42 is 6 × 7 from the 6 table. 7 × 9 = 63 is 9 × 7. 7 × 11 = 77 comes from the 11 table and 7 × 12 = 84 from the 12 table. Once you know every table except 7 and 8, that leaves 7 × 7 = 49 and 7 × 8 = 56, which is a short list to learn by heart.
Seven is 5 + 2, so 7 × k is 5 × k plus 2 × k. For 7 × 6: 30 + 12 = 42. For 7 × 7: 35 + 14 = 49. For 7 × 8: 40 + 16 = 56. For 7 × 9: 45 + 18 = 63. For 7 × 12: 60 + 24 = 84.
The ones digit goes 7, 4, 1, 8, 5, 2, 9, 6, 3, 0 and then starts over: 7 × 10 = 70 ends in 0 and 7 × 11 = 77 ends in 7. Each digit from 0 to 9 appears once in ten steps. Answers alternate odd and even.
The fact people mix up is 7 × 8 = 56. Say the run 5, 6, 7, 8: 56 = 7 × 8. 7 × 7 = 49 is the next step down, one group of 7 fewer than 56.
Set Go up to to 20 and the tool shows these as well. For any of them, split the number: 7 × 13 is 7 × 10 plus 7 × 3, which is 70 + 21 = 91.
| Sum | Answer |
|---|---|
| 7 × 13 | 91 |
| 7 × 14 | 98 |
| 7 × 15 | 105 |
| 7 × 16 | 112 |
| 7 × 17 | 119 |
| 7 × 18 | 126 |
| 7 × 19 | 133 |
| 7 × 20 | 140 |
Do 7 × 1 to 7 × 5, then 7 × 10, 11 and 12 from the other tables. Then 7 × 6 and 7 × 9. Last, learn 7 × 7 = 49 and 7 × 8 = 56. Use the quiz with Ask both ways round to meet each fact from both sides.
Next, try the 8 times table, or go back to the 6 times table. To see every table in one grid, use the times tables chart. To make your own cards, try the flashcard maker.
Questions
7 × 7 = 49.
7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84.
It has no short cycle in the last digit and no digit sum trick. But most of its facts are shared with other tables.
56. Remember the run 5, 6, 7, 8.
Split 7 into 5 and 2, work out each part, and add them.
Yes: 7, 4, 1, 8, 5, 2, 9, 6, 3, 0, repeating every ten steps.