Sumwise

1687 Times (1687×) Multiplication Table

1687 times table, 1 to 20

1687 × 11,687
1687 × 23,374
1687 × 35,061
1687 × 46,748
1687 × 58,435
1687 × 610,122
1687 × 711,809
1687 × 813,496
1687 × 915,183
1687 × 1016,870
1687 × 1118,557
1687 × 1220,244
1687 × 1321,931
1687 × 1423,618
1687 × 1525,305
1687 × 1626,992
1687 × 1728,679
1687 × 1830,366
1687 × 1932,053
1687 × 2033,740

Patterns that help you remember it

  • The last digits repeat in a cycle of 10: 7, 4, 1, 8, 5, 2, 9, 6, 3, 0.
  • Split it into tens and ones: 1687 × k = 1680 × k + 7 × k.
  • Each answer is 1687 more than the one before, so you can count on in steps of 1687.

Building it from tables you already know

To multiply 1687 by 9, multiply by 10 and take one 1687 away: 16,870 − 1687 = 15,183. To multiply by 11, multiply by 10 and add one more 1687: 16,870 + 1687 = 18,557. Multiplying by 4 is doubling twice: 1687 → 3,374 → 6,748.

Every multiple of 1687 is at least 1687, so there are none below 100 and 0 below 1,000. A number is in the 1687 times table exactly when it divides by 1687 with no remainder.

Odd, even and the last digit

Because 1687 is odd, the answers alternate between odd and even: 1687 × 1 = 1687 is odd, 1687 × 2 = 3,374 is even, and so on. Multiplying by 10 always puts a zero on the end: 1687 × 10 = 16,870, and 1687 × 100 = 168,700. Multiplying by 5 is half of multiplying by 10: half of 16,870 is 8,435.

Using the 1687 times table to divide

Every fact also works backwards: because 1687 × 7 = 11,809, you know 11,809 ÷ 1687 = 7 and 11,809 ÷ 7 = 1687. Practising the table and its division facts together halves the work.

1687 times table practice worksheet

  1. 1687 × 9 = ______
  2. 1687 × 10 = ______
  3. 1687 × 12 = ______
  4. 1687 × 6 = ______
  5. 1687 × 3 = ______
  6. 1687 × 2 = ______
  7. 1687 × 3 = ______
  8. 1687 × 3 = ______
  9. 1687 × 6 = ______
  10. 1687 × 5 = ______
  11. 1687 × 10 = ______
  12. 1687 × 5 = ______
Answer key
  1. 15,183
  2. 16,870
  3. 20,244
  4. 10,122
  5. 5,061
  6. 3,374
  7. 5,061
  8. 5,061
  9. 10,122
  10. 8,435
  11. 16,870
  12. 8,435

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 1687 pencils. How many pencils are in 3 boxes?
    Answer3 × 1687 = 5,061 pencils.
  2. Tickets cost $1687 each. How much do 12 tickets cost?
    Answer12 × $1687 = $20,244.
  3. 13,496 chairs are set out in rows of 1687. How many rows are there?
    Answer13,496 ÷ 1687 = 8 rows.
  4. A plant grows 1687 millimetres a week. How much does it grow in 11 weeks?
    Answer11 × 1687 = 18,557 millimetres.

About this page

The table, the patterns and the practice questions are all calculated for 1687 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 1687 × 12?

20,244.

What is half of 1687 × 8?

1687 × 8 = 13,496, and half of that is 6,748, which is 1687 × 4. Halving one factor halves the answer.

What is 1687 times 0?

0. Any number multiplied by zero is zero, because zero groups of 1687 contain nothing.

What is 1687 × 7 and 1687 × 8?

1687 × 7 = 11,809 and 1687 × 8 = 13,496. These two are the facts most people find hardest, so they are worth practising on their own.

Is 25,305 in the 1687 times table?

Yes: 25,305 ÷ 1687 = 15 with no remainder. 25,306 is not, because dividing it by 1687 leaves a remainder of 1.

How do I learn the 1687 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.