1682 Times (1682×) Multiplication Table
1682 times table, 1 to 20
| 1682 × 1 | 1,682 |
| 1682 × 2 | 3,364 |
| 1682 × 3 | 5,046 |
| 1682 × 4 | 6,728 |
| 1682 × 5 | 8,410 |
| 1682 × 6 | 10,092 |
| 1682 × 7 | 11,774 |
| 1682 × 8 | 13,456 |
| 1682 × 9 | 15,138 |
| 1682 × 10 | 16,820 |
| 1682 × 11 | 18,502 |
| 1682 × 12 | 20,184 |
| 1682 × 13 | 21,866 |
| 1682 × 14 | 23,548 |
| 1682 × 15 | 25,230 |
| 1682 × 16 | 26,912 |
| 1682 × 17 | 28,594 |
| 1682 × 18 | 30,276 |
| 1682 × 19 | 31,958 |
| 1682 × 20 | 33,640 |
Patterns that help you remember it
- The last digits repeat in a cycle of 5: 2, 4, 6, 8, 0.
- Every answer is even, because 1682 is even.
- Split it into tens and ones: 1682 × k = 1680 × k + 2 × k.
- Each answer is 1682 more than the one before, so you can count on in steps of 1682.
Building it from tables you already know
Every answer in the 1682 times table is double the answer in the 841 times table: 841 × 6 = 5,046, so 1682 × 6 = 10,092. To multiply 1682 by 9, multiply by 10 and take one 1682 away: 16,820 − 1682 = 15,138. To multiply by 11, multiply by 10 and add one more 1682: 16,820 + 1682 = 18,502. Multiplying by 4 is doubling twice: 1682 → 3,364 → 6,728.
Every multiple of 1682 is at least 1682, so there are none below 100 and 0 below 1,000. A number is in the 1682 times table exactly when it divides by 1682 with no remainder.
Odd, even and the last digit
Because 1682 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: 1682 × 10 = 16,820, and 1682 × 100 = 168,200. Multiplying by 5 is half of multiplying by 10: half of 16,820 is 8,410.
Using the 1682 times table to divide
Every fact also works backwards: because 1682 × 7 = 11,774, you know 11,774 ÷ 1682 = 7 and 11,774 ÷ 7 = 1682. Practising the table and its division facts together halves the work.
1682 times table practice worksheet
- 1682 × 9 = ______
- 1682 × 4 = ______
- 1682 × 1 = ______
- 1682 × 6 = ______
- 1682 × 5 = ______
- 1682 × 4 = ______
- 1682 × 2 = ______
- 1682 × 11 = ______
- 1682 × 2 = ______
- 1682 × 10 = ______
- 1682 × 5 = ______
- 1682 × 10 = ______
Answer key
- 15,138
- 6,728
- 1,682
- 10,092
- 8,410
- 6,728
- 3,364
- 18,502
- 3,364
- 16,820
- 8,410
- 16,820
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 1682 pencils. How many pencils are in 3 boxes?
Answer
3 × 1682 = 5,046 pencils. - Tickets cost $1682 each. How much do 5 tickets cost?
Answer
5 × $1682 = $8,410. - 3,364 chairs are set out in rows of 1682. How many rows are there?
Answer
3,364 ÷ 1682 = 2 rows. - A plant grows 1682 millimetres a week. How much does it grow in 8 weeks?
Answer
8 × 1682 = 13,456 millimetres.
Questions
What is 1682 × 12?
20,184.
What is half of 1682 × 8?
1682 × 8 = 13,456, and half of that is 6,728, which is 1682 × 4. Halving one factor halves the answer.
What is 1682 times 0?
0. Any number multiplied by zero is zero, because zero groups of 1682 contain nothing.
What is 1682 × 7 and 1682 × 8?
1682 × 7 = 11,774 and 1682 × 8 = 13,456. These two are the facts most people find hardest, so they are worth practising on their own.
Is 25,230 in the 1682 times table?
Yes: 25,230 ÷ 1682 = 15 with no remainder. 25,231 is not, because dividing it by 1682 leaves a remainder of 1.
How do I learn the 1682 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.