1967 Times (1967×) Multiplication Table
1967 times table, 1 to 20
| 1967 × 1 | 1,967 |
| 1967 × 2 | 3,934 |
| 1967 × 3 | 5,901 |
| 1967 × 4 | 7,868 |
| 1967 × 5 | 9,835 |
| 1967 × 6 | 11,802 |
| 1967 × 7 | 13,769 |
| 1967 × 8 | 15,736 |
| 1967 × 9 | 17,703 |
| 1967 × 10 | 19,670 |
| 1967 × 11 | 21,637 |
| 1967 × 12 | 23,604 |
| 1967 × 13 | 25,571 |
| 1967 × 14 | 27,538 |
| 1967 × 15 | 29,505 |
| 1967 × 16 | 31,472 |
| 1967 × 17 | 33,439 |
| 1967 × 18 | 35,406 |
| 1967 × 19 | 37,373 |
| 1967 × 20 | 39,340 |
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: 1967 × k = 1960 × k + 7 × k.
- Each answer is 1967 more than the one before, so you can count on in steps of 1967.
Building it from tables you already know
To multiply 1967 by 9, multiply by 10 and take one 1967 away: 19,670 − 1967 = 17,703. To multiply by 11, multiply by 10 and add one more 1967: 19,670 + 1967 = 21,637. Multiplying by 4 is doubling twice: 1967 → 3,934 → 7,868.
Every multiple of 1967 is at least 1967, so there are none below 100 and 0 below 1,000. A number is in the 1967 times table exactly when it divides by 1967 with no remainder.
Odd, even and the last digit
Because 1967 is odd, the answers alternate between odd and even: 1967 × 1 = 1967 is odd, 1967 × 2 = 3,934 is even, and so on. Multiplying by 10 always puts a zero on the end: 1967 × 10 = 19,670, and 1967 × 100 = 196,700. Multiplying by 5 is half of multiplying by 10: half of 19,670 is 9,835.
Using the 1967 times table to divide
Every fact also works backwards: because 1967 × 7 = 13,769, you know 13,769 ÷ 1967 = 7 and 13,769 ÷ 7 = 1967. Practising the table and its division facts together halves the work.
1967 times table practice worksheet
- 1967 × 12 = ______
- 1967 × 11 = ______
- 1967 × 6 = ______
- 1967 × 9 = ______
- 1967 × 10 = ______
- 1967 × 5 = ______
- 1967 × 11 = ______
- 1967 × 10 = ______
- 1967 × 5 = ______
- 1967 × 4 = ______
- 1967 × 10 = ______
- 1967 × 10 = ______
Answer key
- 23,604
- 21,637
- 11,802
- 17,703
- 19,670
- 9,835
- 21,637
- 19,670
- 9,835
- 7,868
- 19,670
- 19,670
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 1967 pencils. How many pencils are in 8 boxes?
Answer
8 × 1967 = 15,736 pencils. - Tickets cost $1967 each. How much do 6 tickets cost?
Answer
6 × $1967 = $11,802. - 5,901 chairs are set out in rows of 1967. How many rows are there?
Answer
5,901 ÷ 1967 = 3 rows. - A plant grows 1967 millimetres a week. How much does it grow in 9 weeks?
Answer
9 × 1967 = 17,703 millimetres.
Questions
What is 1967 × 12?
23,604.
What is half of 1967 × 8?
1967 × 8 = 15,736, and half of that is 7,868, which is 1967 × 4. Halving one factor halves the answer.
What is 1967 times 0?
0. Any number multiplied by zero is zero, because zero groups of 1967 contain nothing.
What is 1967 × 7 and 1967 × 8?
1967 × 7 = 13,769 and 1967 × 8 = 15,736. These two are the facts most people find hardest, so they are worth practising on their own.
Is 29,505 in the 1967 times table?
Yes: 29,505 ÷ 1967 = 15 with no remainder. 29,506 is not, because dividing it by 1967 leaves a remainder of 1.
How do I learn the 1967 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.