1981 Times (1981×) Multiplication Table
1981 times table, 1 to 20
| 1981 × 1 | 1,981 |
| 1981 × 2 | 3,962 |
| 1981 × 3 | 5,943 |
| 1981 × 4 | 7,924 |
| 1981 × 5 | 9,905 |
| 1981 × 6 | 11,886 |
| 1981 × 7 | 13,867 |
| 1981 × 8 | 15,848 |
| 1981 × 9 | 17,829 |
| 1981 × 10 | 19,810 |
| 1981 × 11 | 21,791 |
| 1981 × 12 | 23,772 |
| 1981 × 13 | 25,753 |
| 1981 × 14 | 27,734 |
| 1981 × 15 | 29,715 |
| 1981 × 16 | 31,696 |
| 1981 × 17 | 33,677 |
| 1981 × 18 | 35,658 |
| 1981 × 19 | 37,639 |
| 1981 × 20 | 39,620 |
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: 1981 × k = 1980 × k + 1 × k.
- Each answer is 1981 more than the one before, so you can count on in steps of 1981.
Building it from tables you already know
To multiply 1981 by 9, multiply by 10 and take one 1981 away: 19,810 − 1981 = 17,829. To multiply by 11, multiply by 10 and add one more 1981: 19,810 + 1981 = 21,791. Multiplying by 4 is doubling twice: 1981 → 3,962 → 7,924.
Every multiple of 1981 is at least 1981, so there are none below 100 and 0 below 1,000. A number is in the 1981 times table exactly when it divides by 1981 with no remainder.
Odd, even and the last digit
Because 1981 is odd, the answers alternate between odd and even: 1981 × 1 = 1981 is odd, 1981 × 2 = 3,962 is even, and so on. Multiplying by 10 always puts a zero on the end: 1981 × 10 = 19,810, and 1981 × 100 = 198,100. Multiplying by 5 is half of multiplying by 10: half of 19,810 is 9,905.
Using the 1981 times table to divide
Every fact also works backwards: because 1981 × 7 = 13,867, you know 13,867 ÷ 1981 = 7 and 13,867 ÷ 7 = 1981. Practising the table and its division facts together halves the work.
1981 times table practice worksheet
- 1981 × 11 = ______
- 1981 × 9 = ______
- 1981 × 12 = ______
- 1981 × 12 = ______
- 1981 × 9 = ______
- 1981 × 3 = ______
- 1981 × 9 = ______
- 1981 × 8 = ______
- 1981 × 9 = ______
- 1981 × 10 = ______
- 1981 × 5 = ______
- 1981 × 1 = ______
Answer key
- 21,791
- 17,829
- 23,772
- 23,772
- 17,829
- 5,943
- 17,829
- 15,848
- 17,829
- 19,810
- 9,905
- 1,981
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 1981 pencils. How many pencils are in 7 boxes?
Answer
7 × 1981 = 13,867 pencils. - Tickets cost $1981 each. How much do 8 tickets cost?
Answer
8 × $1981 = $15,848. - 9,905 chairs are set out in rows of 1981. How many rows are there?
Answer
9,905 ÷ 1981 = 5 rows. - A plant grows 1981 millimetres a week. How much does it grow in 9 weeks?
Answer
9 × 1981 = 17,829 millimetres.
Questions
What is 1981 × 12?
23,772.
What is half of 1981 × 8?
1981 × 8 = 15,848, and half of that is 7,924, which is 1981 × 4. Halving one factor halves the answer.
What is 1981 times 0?
0. Any number multiplied by zero is zero, because zero groups of 1981 contain nothing.
What is 1981 × 7 and 1981 × 8?
1981 × 7 = 13,867 and 1981 × 8 = 15,848. These two are the facts most people find hardest, so they are worth practising on their own.
Is 29,715 in the 1981 times table?
Yes: 29,715 ÷ 1981 = 15 with no remainder. 29,716 is not, because dividing it by 1981 leaves a remainder of 1.
How do I learn the 1981 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.