Sumwise

1686 Times (1686×) Multiplication Table

1686 times table, 1 to 20

1686 × 11,686
1686 × 23,372
1686 × 35,058
1686 × 46,744
1686 × 58,430
1686 × 610,116
1686 × 711,802
1686 × 813,488
1686 × 915,174
1686 × 1016,860
1686 × 1118,546
1686 × 1220,232
1686 × 1321,918
1686 × 1423,604
1686 × 1525,290
1686 × 1626,976
1686 × 1728,662
1686 × 1830,348
1686 × 1932,034
1686 × 2033,720

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 1686 is even.
  • Split it into tens and ones: 1686 × k = 1680 × k + 6 × k.
  • Each answer is 1686 more than the one before, so you can count on in steps of 1686.

Building it from tables you already know

Every answer in the 1686 times table is double the answer in the 843 times table: 843 × 6 = 5,058, so 1686 × 6 = 10,116. To multiply 1686 by 9, multiply by 10 and take one 1686 away: 16,860 − 1686 = 15,174. To multiply by 11, multiply by 10 and add one more 1686: 16,860 + 1686 = 18,546. Multiplying by 4 is doubling twice: 1686 → 3,372 → 6,744.

Every multiple of 1686 is at least 1686, so there are none below 100 and 0 below 1,000. A number is in the 1686 times table exactly when it divides by 1686 with no remainder.

Odd, even and the last digit

Because 1686 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: 1686 × 10 = 16,860, and 1686 × 100 = 168,600. Multiplying by 5 is half of multiplying by 10: half of 16,860 is 8,430.

Using the 1686 times table to divide

Every fact also works backwards: because 1686 × 7 = 11,802, you know 11,802 ÷ 1686 = 7 and 11,802 ÷ 7 = 1686. Practising the table and its division facts together halves the work.

1686 times table practice worksheet

  1. 1686 × 9 = ______
  2. 1686 × 4 = ______
  3. 1686 × 4 = ______
  4. 1686 × 4 = ______
  5. 1686 × 4 = ______
  6. 1686 × 1 = ______
  7. 1686 × 11 = ______
  8. 1686 × 8 = ______
  9. 1686 × 2 = ______
  10. 1686 × 10 = ______
  11. 1686 × 11 = ______
  12. 1686 × 9 = ______
Answer key
  1. 15,174
  2. 6,744
  3. 6,744
  4. 6,744
  5. 6,744
  6. 1,686
  7. 18,546
  8. 13,488
  9. 3,372
  10. 16,860
  11. 18,546
  12. 15,174

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 1686 pencils. How many pencils are in 3 boxes?
    Answer3 × 1686 = 5,058 pencils.
  2. Tickets cost $1686 each. How much do 12 tickets cost?
    Answer12 × $1686 = $20,232.
  3. 10,116 chairs are set out in rows of 1686. How many rows are there?
    Answer10,116 ÷ 1686 = 6 rows.
  4. A plant grows 1686 millimetres a week. How much does it grow in 9 weeks?
    Answer9 × 1686 = 15,174 millimetres.

About this page

The table, the patterns and the practice questions are all calculated for 1686 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 1686 × 12?

20,232.

What is half of 1686 × 8?

1686 × 8 = 13,488, and half of that is 6,744, which is 1686 × 4. Halving one factor halves the answer.

What is 1686 times 0?

0. Any number multiplied by zero is zero, because zero groups of 1686 contain nothing.

What is 1686 × 7 and 1686 × 8?

1686 × 7 = 11,802 and 1686 × 8 = 13,488. These two are the facts most people find hardest, so they are worth practising on their own.

Is 25,290 in the 1686 times table?

Yes: 25,290 ÷ 1686 = 15 with no remainder. 25,291 is not, because dividing it by 1686 leaves a remainder of 1.

How do I learn the 1686 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.