317 Times (317×) Multiplication Table
317 times table, 1 to 20
| 317 × 1 | 317 |
| 317 × 2 | 634 |
| 317 × 3 | 951 |
| 317 × 4 | 1,268 |
| 317 × 5 | 1,585 |
| 317 × 6 | 1,902 |
| 317 × 7 | 2,219 |
| 317 × 8 | 2,536 |
| 317 × 9 | 2,853 |
| 317 × 10 | 3,170 |
| 317 × 11 | 3,487 |
| 317 × 12 | 3,804 |
| 317 × 13 | 4,121 |
| 317 × 14 | 4,438 |
| 317 × 15 | 4,755 |
| 317 × 16 | 5,072 |
| 317 × 17 | 5,389 |
| 317 × 18 | 5,706 |
| 317 × 19 | 6,023 |
| 317 × 20 | 6,340 |
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: 317 × k = 310 × k + 7 × k.
- Each answer is 317 more than the one before, so you can count on in steps of 317.
Building it from tables you already know
To multiply 317 by 9, multiply by 10 and take one 317 away: 3,170 − 317 = 2,853. To multiply by 11, multiply by 10 and add one more 317: 3,170 + 317 = 3,487. Multiplying by 4 is doubling twice: 317 → 634 → 1,268.
Every multiple of 317 is at least 317, so there are none below 100 and 3 below 1,000. A number is in the 317 times table exactly when it divides by 317 with no remainder.
Odd, even and the last digit
Because 317 is odd, the answers alternate between odd and even: 317 × 1 = 317 is odd, 317 × 2 = 634 is even, and so on. Multiplying by 10 always puts a zero on the end: 317 × 10 = 3,170, and 317 × 100 = 31,700. Multiplying by 5 is half of multiplying by 10: half of 3,170 is 1,585.
Using the 317 times table to divide
Every fact also works backwards: because 317 × 7 = 2,219, you know 2,219 ÷ 317 = 7 and 2,219 ÷ 7 = 317. Practising the table and its division facts together halves the work.
317 times table practice worksheet
- 317 × 12 = ______
- 317 × 1 = ______
- 317 × 12 = ______
- 317 × 10 = ______
- 317 × 8 = ______
- 317 × 5 = ______
- 317 × 12 = ______
- 317 × 11 = ______
- 317 × 10 = ______
- 317 × 12 = ______
- 317 × 9 = ______
- 317 × 2 = ______
Answer key
- 3,804
- 317
- 3,804
- 3,170
- 2,536
- 1,585
- 3,804
- 3,487
- 3,170
- 3,804
- 2,853
- 634
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 317 pencils. How many pencils are in 7 boxes?
Answer
7 × 317 = 2,219 pencils. - Tickets cost $317 each. How much do 11 tickets cost?
Answer
11 × $317 = $3,487. - 1,902 chairs are set out in rows of 317. How many rows are there?
Answer
1,902 ÷ 317 = 6 rows. - A plant grows 317 millimetres a week. How much does it grow in 11 weeks?
Answer
11 × 317 = 3,487 millimetres.
Questions
What is 317 × 12?
3,804.
What is half of 317 × 8?
317 × 8 = 2,536, and half of that is 1,268, which is 317 × 4. Halving one factor halves the answer.
What is 317 times 0?
0. Any number multiplied by zero is zero, because zero groups of 317 contain nothing.
What is 317 × 7 and 317 × 8?
317 × 7 = 2,219 and 317 × 8 = 2,536. These two are the facts most people find hardest, so they are worth practising on their own.
Is 4,755 in the 317 times table?
Yes: 4,755 ÷ 317 = 15 with no remainder. 4,756 is not, because dividing it by 317 leaves a remainder of 1.
How do I learn the 317 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.