Sumwise

1683 Times (1683×) Multiplication Table

1683 times table, 1 to 20

1683 × 11,683
1683 × 23,366
1683 × 35,049
1683 × 46,732
1683 × 58,415
1683 × 610,098
1683 × 711,781
1683 × 813,464
1683 × 915,147
1683 × 1016,830
1683 × 1118,513
1683 × 1220,196
1683 × 1321,879
1683 × 1423,562
1683 × 1525,245
1683 × 1626,928
1683 × 1728,611
1683 × 1830,294
1683 × 1931,977
1683 × 2033,660

Patterns that help you remember it

  • The last digits repeat in a cycle of 10: 3, 6, 9, 2, 5, 8, 1, 4, 7, 0.
  • The digits of every answer add up to a multiple of 9.
  • Split it into tens and ones: 1683 × k = 1680 × k + 3 × k.
  • Each answer is 1683 more than the one before, so you can count on in steps of 1683.

Building it from tables you already know

To multiply 1683 by 9, multiply by 10 and take one 1683 away: 16,830 − 1683 = 15,147. To multiply by 11, multiply by 10 and add one more 1683: 16,830 + 1683 = 18,513. Multiplying by 4 is doubling twice: 1683 → 3,366 → 6,732.

Every multiple of 1683 is at least 1683, so there are none below 100 and 0 below 1,000. A number is in the 1683 times table exactly when it divides by 1683 with no remainder.

Odd, even and the last digit

Because 1683 is odd, the answers alternate between odd and even: 1683 × 1 = 1683 is odd, 1683 × 2 = 3,366 is even, and so on. Multiplying by 10 always puts a zero on the end: 1683 × 10 = 16,830, and 1683 × 100 = 168,300. Multiplying by 5 is half of multiplying by 10: half of 16,830 is 8,415.

Using the 1683 times table to divide

Every fact also works backwards: because 1683 × 7 = 11,781, you know 11,781 ÷ 1683 = 7 and 11,781 ÷ 7 = 1683. Practising the table and its division facts together halves the work.

1683 times table practice worksheet

  1. 1683 × 9 = ______
  2. 1683 × 10 = ______
  3. 1683 × 5 = ______
  4. 1683 × 3 = ______
  5. 1683 × 9 = ______
  6. 1683 × 9 = ______
  7. 1683 × 9 = ______
  8. 1683 × 1 = ______
  9. 1683 × 5 = ______
  10. 1683 × 11 = ______
  11. 1683 × 5 = ______
  12. 1683 × 12 = ______
Answer key
  1. 15,147
  2. 16,830
  3. 8,415
  4. 5,049
  5. 15,147
  6. 15,147
  7. 15,147
  8. 1,683
  9. 8,415
  10. 18,513
  11. 8,415
  12. 20,196

Word problems

Times tables are most useful when you can spot them in a question. Try these, then open each one to check:

  1. A box holds 1683 pencils. How many pencils are in 3 boxes?
    Answer3 × 1683 = 5,049 pencils.
  2. Tickets cost $1683 each. How much do 4 tickets cost?
    Answer4 × $1683 = $6,732.
  3. 15,147 chairs are set out in rows of 1683. How many rows are there?
    Answer15,147 ÷ 1683 = 9 rows.
  4. A plant grows 1683 millimetres a week. How much does it grow in 8 weeks?
    Answer8 × 1683 = 13,464 millimetres.

About this page

The table, the patterns and the practice questions are all calculated for 1683 when the page is opened, so every fact on it is exact. Use the options above the worksheet to change the number of questions or the largest multiplier.

Questions

What is 1683 × 12?

20,196.

What is half of 1683 × 8?

1683 × 8 = 13,464, and half of that is 6,732, which is 1683 × 4. Halving one factor halves the answer.

What is 1683 times 0?

0. Any number multiplied by zero is zero, because zero groups of 1683 contain nothing.

What is 1683 × 7 and 1683 × 8?

1683 × 7 = 11,781 and 1683 × 8 = 13,464. These two are the facts most people find hardest, so they are worth practising on their own.

Is 25,245 in the 1683 times table?

Yes: 25,245 ÷ 1683 = 15 with no remainder. 25,246 is not, because dividing it by 1683 leaves a remainder of 1.

How do I learn the 1683 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.