617 Times (617×) Multiplication Table
617 times table, 1 to 20
| 617 × 1 | 617 |
| 617 × 2 | 1,234 |
| 617 × 3 | 1,851 |
| 617 × 4 | 2,468 |
| 617 × 5 | 3,085 |
| 617 × 6 | 3,702 |
| 617 × 7 | 4,319 |
| 617 × 8 | 4,936 |
| 617 × 9 | 5,553 |
| 617 × 10 | 6,170 |
| 617 × 11 | 6,787 |
| 617 × 12 | 7,404 |
| 617 × 13 | 8,021 |
| 617 × 14 | 8,638 |
| 617 × 15 | 9,255 |
| 617 × 16 | 9,872 |
| 617 × 17 | 10,489 |
| 617 × 18 | 11,106 |
| 617 × 19 | 11,723 |
| 617 × 20 | 12,340 |
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: 617 × k = 610 × k + 7 × k.
- Each answer is 617 more than the one before, so you can count on in steps of 617.
Building it from tables you already know
To multiply 617 by 9, multiply by 10 and take one 617 away: 6,170 − 617 = 5,553. To multiply by 11, multiply by 10 and add one more 617: 6,170 + 617 = 6,787. Multiplying by 4 is doubling twice: 617 → 1,234 → 2,468.
Every multiple of 617 is at least 617, so there are none below 100 and 1 below 1,000. A number is in the 617 times table exactly when it divides by 617 with no remainder.
Odd, even and the last digit
Because 617 is odd, the answers alternate between odd and even: 617 × 1 = 617 is odd, 617 × 2 = 1,234 is even, and so on. Multiplying by 10 always puts a zero on the end: 617 × 10 = 6,170, and 617 × 100 = 61,700. Multiplying by 5 is half of multiplying by 10: half of 6,170 is 3,085.
Using the 617 times table to divide
Every fact also works backwards: because 617 × 7 = 4,319, you know 4,319 ÷ 617 = 7 and 4,319 ÷ 7 = 617. Practising the table and its division facts together halves the work.
617 times table practice worksheet
- 617 × 9 = ______
- 617 × 10 = ______
- 617 × 9 = ______
- 617 × 4 = ______
- 617 × 1 = ______
- 617 × 4 = ______
- 617 × 6 = ______
- 617 × 7 = ______
- 617 × 11 = ______
- 617 × 8 = ______
- 617 × 9 = ______
- 617 × 3 = ______
Answer key
- 5,553
- 6,170
- 5,553
- 2,468
- 617
- 2,468
- 3,702
- 4,319
- 6,787
- 4,936
- 5,553
- 1,851
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 617 pencils. How many pencils are in 8 boxes?
Answer
8 × 617 = 4,936 pencils. - Tickets cost $617 each. How much do 5 tickets cost?
Answer
5 × $617 = $3,085. - 1,234 chairs are set out in rows of 617. How many rows are there?
Answer
1,234 ÷ 617 = 2 rows. - A plant grows 617 millimetres a week. How much does it grow in 11 weeks?
Answer
11 × 617 = 6,787 millimetres.
Questions
What is 617 × 12?
7,404.
What is half of 617 × 8?
617 × 8 = 4,936, and half of that is 2,468, which is 617 × 4. Halving one factor halves the answer.
What is 617 times 0?
0. Any number multiplied by zero is zero, because zero groups of 617 contain nothing.
What is 617 × 7 and 617 × 8?
617 × 7 = 4,319 and 617 × 8 = 4,936. These two are the facts most people find hardest, so they are worth practising on their own.
Is 9,255 in the 617 times table?
Yes: 9,255 ÷ 617 = 15 with no remainder. 9,256 is not, because dividing it by 617 leaves a remainder of 1.
How do I learn the 617 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.