1617 Times (1617×) Multiplication Table
1617 times table, 1 to 20
| 1617 × 1 | 1,617 |
| 1617 × 2 | 3,234 |
| 1617 × 3 | 4,851 |
| 1617 × 4 | 6,468 |
| 1617 × 5 | 8,085 |
| 1617 × 6 | 9,702 |
| 1617 × 7 | 11,319 |
| 1617 × 8 | 12,936 |
| 1617 × 9 | 14,553 |
| 1617 × 10 | 16,170 |
| 1617 × 11 | 17,787 |
| 1617 × 12 | 19,404 |
| 1617 × 13 | 21,021 |
| 1617 × 14 | 22,638 |
| 1617 × 15 | 24,255 |
| 1617 × 16 | 25,872 |
| 1617 × 17 | 27,489 |
| 1617 × 18 | 29,106 |
| 1617 × 19 | 30,723 |
| 1617 × 20 | 32,340 |
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: 1617 × k = 1610 × k + 7 × k.
- Each answer is 1617 more than the one before, so you can count on in steps of 1617.
Building it from tables you already know
To multiply 1617 by 9, multiply by 10 and take one 1617 away: 16,170 − 1617 = 14,553. To multiply by 11, multiply by 10 and add one more 1617: 16,170 + 1617 = 17,787. Multiplying by 4 is doubling twice: 1617 → 3,234 → 6,468.
Every multiple of 1617 is at least 1617, so there are none below 100 and 0 below 1,000. A number is in the 1617 times table exactly when it divides by 1617 with no remainder.
Odd, even and the last digit
Because 1617 is odd, the answers alternate between odd and even: 1617 × 1 = 1617 is odd, 1617 × 2 = 3,234 is even, and so on. Multiplying by 10 always puts a zero on the end: 1617 × 10 = 16,170, and 1617 × 100 = 161,700. Multiplying by 5 is half of multiplying by 10: half of 16,170 is 8,085.
Using the 1617 times table to divide
Every fact also works backwards: because 1617 × 7 = 11,319, you know 11,319 ÷ 1617 = 7 and 11,319 ÷ 7 = 1617. Practising the table and its division facts together halves the work.
1617 times table practice worksheet
- 1617 × 11 = ______
- 1617 × 1 = ______
- 1617 × 6 = ______
- 1617 × 7 = ______
- 1617 × 9 = ______
- 1617 × 6 = ______
- 1617 × 7 = ______
- 1617 × 5 = ______
- 1617 × 10 = ______
- 1617 × 4 = ______
- 1617 × 11 = ______
- 1617 × 2 = ______
Answer key
- 17,787
- 1,617
- 9,702
- 11,319
- 14,553
- 9,702
- 11,319
- 8,085
- 16,170
- 6,468
- 17,787
- 3,234
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 1617 pencils. How many pencils are in 6 boxes?
Answer
6 × 1617 = 9,702 pencils. - Tickets cost $1617 each. How much do 5 tickets cost?
Answer
5 × $1617 = $8,085. - 4,851 chairs are set out in rows of 1617. How many rows are there?
Answer
4,851 ÷ 1617 = 3 rows. - A plant grows 1617 millimetres a week. How much does it grow in 6 weeks?
Answer
6 × 1617 = 9,702 millimetres.
Questions
What is 1617 × 12?
19,404.
What is half of 1617 × 8?
1617 × 8 = 12,936, and half of that is 6,468, which is 1617 × 4. Halving one factor halves the answer.
What is 1617 times 0?
0. Any number multiplied by zero is zero, because zero groups of 1617 contain nothing.
What is 1617 × 7 and 1617 × 8?
1617 × 7 = 11,319 and 1617 × 8 = 12,936. These two are the facts most people find hardest, so they are worth practising on their own.
Is 24,255 in the 1617 times table?
Yes: 24,255 ÷ 1617 = 15 with no remainder. 24,256 is not, because dividing it by 1617 leaves a remainder of 1.
How do I learn the 1617 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.