1767 Times (1767×) Multiplication Table
1767 times table, 1 to 20
| 1767 × 1 | 1,767 |
| 1767 × 2 | 3,534 |
| 1767 × 3 | 5,301 |
| 1767 × 4 | 7,068 |
| 1767 × 5 | 8,835 |
| 1767 × 6 | 10,602 |
| 1767 × 7 | 12,369 |
| 1767 × 8 | 14,136 |
| 1767 × 9 | 15,903 |
| 1767 × 10 | 17,670 |
| 1767 × 11 | 19,437 |
| 1767 × 12 | 21,204 |
| 1767 × 13 | 22,971 |
| 1767 × 14 | 24,738 |
| 1767 × 15 | 26,505 |
| 1767 × 16 | 28,272 |
| 1767 × 17 | 30,039 |
| 1767 × 18 | 31,806 |
| 1767 × 19 | 33,573 |
| 1767 × 20 | 35,340 |
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: 1767 × k = 1760 × k + 7 × k.
- Each answer is 1767 more than the one before, so you can count on in steps of 1767.
Building it from tables you already know
To multiply 1767 by 9, multiply by 10 and take one 1767 away: 17,670 − 1767 = 15,903. To multiply by 11, multiply by 10 and add one more 1767: 17,670 + 1767 = 19,437. Multiplying by 4 is doubling twice: 1767 → 3,534 → 7,068.
Every multiple of 1767 is at least 1767, so there are none below 100 and 0 below 1,000. A number is in the 1767 times table exactly when it divides by 1767 with no remainder.
Odd, even and the last digit
Because 1767 is odd, the answers alternate between odd and even: 1767 × 1 = 1767 is odd, 1767 × 2 = 3,534 is even, and so on. Multiplying by 10 always puts a zero on the end: 1767 × 10 = 17,670, and 1767 × 100 = 176,700. Multiplying by 5 is half of multiplying by 10: half of 17,670 is 8,835.
Using the 1767 times table to divide
Every fact also works backwards: because 1767 × 7 = 12,369, you know 12,369 ÷ 1767 = 7 and 12,369 ÷ 7 = 1767. Practising the table and its division facts together halves the work.
1767 times table practice worksheet
- 1767 × 2 = ______
- 1767 × 8 = ______
- 1767 × 4 = ______
- 1767 × 6 = ______
- 1767 × 11 = ______
- 1767 × 5 = ______
- 1767 × 6 = ______
- 1767 × 10 = ______
- 1767 × 10 = ______
- 1767 × 7 = ______
- 1767 × 11 = ______
- 1767 × 1 = ______
Answer key
- 3,534
- 14,136
- 7,068
- 10,602
- 19,437
- 8,835
- 10,602
- 17,670
- 17,670
- 12,369
- 19,437
- 1,767
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 1767 pencils. How many pencils are in 5 boxes?
Answer
5 × 1767 = 8,835 pencils. - Tickets cost $1767 each. How much do 9 tickets cost?
Answer
9 × $1767 = $15,903. - 14,136 chairs are set out in rows of 1767. How many rows are there?
Answer
14,136 ÷ 1767 = 8 rows. - A plant grows 1767 millimetres a week. How much does it grow in 12 weeks?
Answer
12 × 1767 = 21,204 millimetres.
Questions
What is 1767 × 12?
21,204.
What is half of 1767 × 8?
1767 × 8 = 14,136, and half of that is 7,068, which is 1767 × 4. Halving one factor halves the answer.
What is 1767 times 0?
0. Any number multiplied by zero is zero, because zero groups of 1767 contain nothing.
What is 1767 × 7 and 1767 × 8?
1767 × 7 = 12,369 and 1767 × 8 = 14,136. These two are the facts most people find hardest, so they are worth practising on their own.
Is 26,505 in the 1767 times table?
Yes: 26,505 ÷ 1767 = 15 with no remainder. 26,506 is not, because dividing it by 1767 leaves a remainder of 1.
How do I learn the 1767 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.