1966 Times (1966×) Multiplication Table
1966 times table, 1 to 20
| 1966 × 1 | 1,966 |
| 1966 × 2 | 3,932 |
| 1966 × 3 | 5,898 |
| 1966 × 4 | 7,864 |
| 1966 × 5 | 9,830 |
| 1966 × 6 | 11,796 |
| 1966 × 7 | 13,762 |
| 1966 × 8 | 15,728 |
| 1966 × 9 | 17,694 |
| 1966 × 10 | 19,660 |
| 1966 × 11 | 21,626 |
| 1966 × 12 | 23,592 |
| 1966 × 13 | 25,558 |
| 1966 × 14 | 27,524 |
| 1966 × 15 | 29,490 |
| 1966 × 16 | 31,456 |
| 1966 × 17 | 33,422 |
| 1966 × 18 | 35,388 |
| 1966 × 19 | 37,354 |
| 1966 × 20 | 39,320 |
Patterns that help you remember it
- The last digits repeat in a cycle of 5: 6, 2, 8, 4, 0.
- Every answer is even, because 1966 is even.
- Split it into tens and ones: 1966 × k = 1960 × k + 6 × k.
- Each answer is 1966 more than the one before, so you can count on in steps of 1966.
Building it from tables you already know
Every answer in the 1966 times table is double the answer in the 983 times table: 983 × 6 = 5,898, so 1966 × 6 = 11,796. To multiply 1966 by 9, multiply by 10 and take one 1966 away: 19,660 − 1966 = 17,694. To multiply by 11, multiply by 10 and add one more 1966: 19,660 + 1966 = 21,626. Multiplying by 4 is doubling twice: 1966 → 3,932 → 7,864.
Every multiple of 1966 is at least 1966, so there are none below 100 and 0 below 1,000. A number is in the 1966 times table exactly when it divides by 1966 with no remainder.
Odd, even and the last digit
Because 1966 is even, every answer in its table is even, which is a quick way to catch a wrong answer. Multiplying by 10 always puts a zero on the end: 1966 × 10 = 19,660, and 1966 × 100 = 196,600. Multiplying by 5 is half of multiplying by 10: half of 19,660 is 9,830.
Using the 1966 times table to divide
Every fact also works backwards: because 1966 × 7 = 13,762, you know 13,762 ÷ 1966 = 7 and 13,762 ÷ 7 = 1966. Practising the table and its division facts together halves the work.
1966 times table practice worksheet
- 1966 × 12 = ______
- 1966 × 5 = ______
- 1966 × 5 = ______
- 1966 × 9 = ______
- 1966 × 12 = ______
- 1966 × 1 = ______
- 1966 × 9 = ______
- 1966 × 3 = ______
- 1966 × 8 = ______
- 1966 × 11 = ______
- 1966 × 4 = ______
- 1966 × 3 = ______
Answer key
- 23,592
- 9,830
- 9,830
- 17,694
- 23,592
- 1,966
- 17,694
- 5,898
- 15,728
- 21,626
- 7,864
- 5,898
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 1966 pencils. How many pencils are in 8 boxes?
Answer
8 × 1966 = 15,728 pencils. - Tickets cost $1966 each. How much do 6 tickets cost?
Answer
6 × $1966 = $11,796. - 13,762 chairs are set out in rows of 1966. How many rows are there?
Answer
13,762 ÷ 1966 = 7 rows. - A plant grows 1966 millimetres a week. How much does it grow in 8 weeks?
Answer
8 × 1966 = 15,728 millimetres.
Questions
What is 1966 × 12?
23,592.
What is half of 1966 × 8?
1966 × 8 = 15,728, and half of that is 7,864, which is 1966 × 4. Halving one factor halves the answer.
What is 1966 times 0?
0. Any number multiplied by zero is zero, because zero groups of 1966 contain nothing.
What is 1966 × 7 and 1966 × 8?
1966 × 7 = 13,762 and 1966 × 8 = 15,728. These two are the facts most people find hardest, so they are worth practising on their own.
Is 29,490 in the 1966 times table?
Yes: 29,490 ÷ 1966 = 15 with no remainder. 29,491 is not, because dividing it by 1966 leaves a remainder of 1.
How do I learn the 1966 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.