217 Times (217×) Multiplication Table
217 times table, 1 to 20
| 217 × 1 | 217 |
| 217 × 2 | 434 |
| 217 × 3 | 651 |
| 217 × 4 | 868 |
| 217 × 5 | 1,085 |
| 217 × 6 | 1,302 |
| 217 × 7 | 1,519 |
| 217 × 8 | 1,736 |
| 217 × 9 | 1,953 |
| 217 × 10 | 2,170 |
| 217 × 11 | 2,387 |
| 217 × 12 | 2,604 |
| 217 × 13 | 2,821 |
| 217 × 14 | 3,038 |
| 217 × 15 | 3,255 |
| 217 × 16 | 3,472 |
| 217 × 17 | 3,689 |
| 217 × 18 | 3,906 |
| 217 × 19 | 4,123 |
| 217 × 20 | 4,340 |
Patterns that help you remember it
- The last digits repeat in a cycle of 10: 7, 4, 1, 8, 5, 2, 9, 6, 3, 0.
- Split it into tens and ones: 217 × k = 210 × k + 7 × k.
- Each answer is 217 more than the one before, so you can count on in steps of 217.
Building it from tables you already know
To multiply 217 by 9, multiply by 10 and take one 217 away: 2,170 − 217 = 1,953. To multiply by 11, multiply by 10 and add one more 217: 2,170 + 217 = 2,387. Multiplying by 4 is doubling twice: 217 → 434 → 868.
Every multiple of 217 is at least 217, so there are none below 100 and 4 below 1,000. A number is in the 217 times table exactly when it divides by 217 with no remainder.
Odd, even and the last digit
Because 217 is odd, the answers alternate between odd and even: 217 × 1 = 217 is odd, 217 × 2 = 434 is even, and so on. Multiplying by 10 always puts a zero on the end: 217 × 10 = 2,170, and 217 × 100 = 21,700. Multiplying by 5 is half of multiplying by 10: half of 2,170 is 1,085.
Using the 217 times table to divide
Every fact also works backwards: because 217 × 7 = 1,519, you know 1,519 ÷ 217 = 7 and 1,519 ÷ 7 = 217. Practising the table and its division facts together halves the work.
217 times table practice worksheet
- 217 × 4 = ______
- 217 × 11 = ______
- 217 × 7 = ______
- 217 × 8 = ______
- 217 × 8 = ______
- 217 × 8 = ______
- 217 × 12 = ______
- 217 × 5 = ______
- 217 × 9 = ______
- 217 × 6 = ______
- 217 × 10 = ______
- 217 × 10 = ______
Answer key
- 868
- 2,387
- 1,519
- 1,736
- 1,736
- 1,736
- 2,604
- 1,085
- 1,953
- 1,302
- 2,170
- 2,170
Word problems
Times tables are most useful when you can spot them in a question. Try these, then open each one to check:
- A box holds 217 pencils. How many pencils are in 7 boxes?
Answer
7 × 217 = 1,519 pencils. - Tickets cost $217 each. How much do 7 tickets cost?
Answer
7 × $217 = $1,519. - 434 chairs are set out in rows of 217. How many rows are there?
Answer
434 ÷ 217 = 2 rows. - A plant grows 217 millimetres a week. How much does it grow in 12 weeks?
Answer
12 × 217 = 2,604 millimetres.
Questions
What is 217 × 12?
2,604.
What is half of 217 × 8?
217 × 8 = 1,736, and half of that is 868, which is 217 × 4. Halving one factor halves the answer.
What is 217 times 0?
0. Any number multiplied by zero is zero, because zero groups of 217 contain nothing.
What is 217 × 7 and 217 × 8?
217 × 7 = 1,519 and 217 × 8 = 1,736. These two are the facts most people find hardest, so they are worth practising on their own.
Is 3,255 in the 217 times table?
Yes: 3,255 ÷ 217 = 15 with no remainder. 3,256 is not, because dividing it by 217 leaves a remainder of 1.
How do I learn the 217 times table quickly?
Learn it in order first, then use the patterns above and practise mixed questions; a few minutes a day works better than one long session.