1761 Times (1761×) Multiplication Table
1761 times table, 1 to 20
| 1761 × 1 | 1,761 |
| 1761 × 2 | 3,522 |
| 1761 × 3 | 5,283 |
| 1761 × 4 | 7,044 |
| 1761 × 5 | 8,805 |
| 1761 × 6 | 10,566 |
| 1761 × 7 | 12,327 |
| 1761 × 8 | 14,088 |
| 1761 × 9 | 15,849 |
| 1761 × 10 | 17,610 |
| 1761 × 11 | 19,371 |
| 1761 × 12 | 21,132 |
| 1761 × 13 | 22,893 |
| 1761 × 14 | 24,654 |
| 1761 × 15 | 26,415 |
| 1761 × 16 | 28,176 |
| 1761 × 17 | 29,937 |
| 1761 × 18 | 31,698 |
| 1761 × 19 | 33,459 |
| 1761 × 20 | 35,220 |
Patterns that help you remember it
- The last digits repeat in a cycle of 10: 1, 2, 3, 4, 5, 6, 7, 8, 9, 0.
- Split it into tens and ones: 1761 × k = 1760 × k + 1 × k.
- Each answer is 1761 more than the one before, so you can count on in steps of 1761.
Building it from tables you already know
To multiply 1761 by 9, multiply by 10 and take one 1761 away: 17,610 − 1761 = 15,849. To multiply by 11, multiply by 10 and add one more 1761: 17,610 + 1761 = 19,371. Multiplying by 4 is doubling twice: 1761 → 3,522 → 7,044.
Every multiple of 1761 is at least 1761, so there are none below 100 and 0 below 1,000. A number is in the 1761 times table exactly when it divides by 1761 with no remainder.
Odd, even and the last digit
Because 1761 is odd, the answers alternate between odd and even: 1761 × 1 = 1761 is odd, 1761 × 2 = 3,522 is even, and so on. Multiplying by 10 always puts a zero on the end: 1761 × 10 = 17,610, and 1761 × 100 = 176,100. Multiplying by 5 is half of multiplying by 10: half of 17,610 is 8,805.
Using the 1761 times table to divide
Every fact also works backwards: because 1761 × 7 = 12,327, you know 12,327 ÷ 1761 = 7 and 12,327 ÷ 7 = 1761. Practising the table and its division facts together halves the work.
1761 times table practice worksheet
- 1761 × 3 = ______
- 1761 × 9 = ______
- 1761 × 7 = ______
- 1761 × 7 = ______
- 1761 × 4 = ______
- 1761 × 11 = ______
- 1761 × 6 = ______
- 1761 × 4 = ______
- 1761 × 5 = ______
- 1761 × 10 = ______
- 1761 × 6 = ______
- 1761 × 9 = ______
Answer key
- 5,283
- 15,849
- 12,327
- 12,327
- 7,044
- 19,371
- 10,566
- 7,044
- 8,805
- 17,610
- 10,566
- 15,849
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 1761 pencils. How many pencils are in 5 boxes?
Answer
5 × 1761 = 8,805 pencils. - Tickets cost $1761 each. How much do 10 tickets cost?
Answer
10 × $1761 = $17,610. - 7,044 chairs are set out in rows of 1761. How many rows are there?
Answer
7,044 ÷ 1761 = 4 rows. - A plant grows 1761 millimetres a week. How much does it grow in 6 weeks?
Answer
6 × 1761 = 10,566 millimetres.
Questions
What is 1761 × 12?
21,132.
What is half of 1761 × 8?
1761 × 8 = 14,088, and half of that is 7,044, which is 1761 × 4. Halving one factor halves the answer.
What is 1761 times 0?
0. Any number multiplied by zero is zero, because zero groups of 1761 contain nothing.
What is 1761 × 7 and 1761 × 8?
1761 × 7 = 12,327 and 1761 × 8 = 14,088. These two are the facts most people find hardest, so they are worth practising on their own.
Is 26,415 in the 1761 times table?
Yes: 26,415 ÷ 1761 = 15 with no remainder. 26,416 is not, because dividing it by 1761 leaves a remainder of 1.
How do I learn the 1761 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.