Sumwise

1688 Times (1688×) Multiplication Table

1688 times table, 1 to 20

1688 × 11,688
1688 × 23,376
1688 × 35,064
1688 × 46,752
1688 × 58,440
1688 × 610,128
1688 × 711,816
1688 × 813,504
1688 × 915,192
1688 × 1016,880
1688 × 1118,568
1688 × 1220,256
1688 × 1321,944
1688 × 1423,632
1688 × 1525,320
1688 × 1627,008
1688 × 1728,696
1688 × 1830,384
1688 × 1932,072
1688 × 2033,760

Patterns that help you remember it

  • The last digits repeat in a cycle of 5: 8, 6, 4, 2, 0.
  • Every answer is even, because 1688 is even.
  • Split it into tens and ones: 1688 × k = 1680 × k + 8 × k.
  • Each answer is 1688 more than the one before, so you can count on in steps of 1688.

Building it from tables you already know

Every answer in the 1688 times table is double the answer in the 844 times table: 844 × 6 = 5,064, so 1688 × 6 = 10,128. To multiply 1688 by 9, multiply by 10 and take one 1688 away: 16,880 − 1688 = 15,192. To multiply by 11, multiply by 10 and add one more 1688: 16,880 + 1688 = 18,568. Multiplying by 4 is doubling twice: 1688 → 3,376 → 6,752.

Every multiple of 1688 is at least 1688, so there are none below 100 and 0 below 1,000. A number is in the 1688 times table exactly when it divides by 1688 with no remainder.

Odd, even and the last digit

Because 1688 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: 1688 × 10 = 16,880, and 1688 × 100 = 168,800. Multiplying by 5 is half of multiplying by 10: half of 16,880 is 8,440.

Using the 1688 times table to divide

Every fact also works backwards: because 1688 × 7 = 11,816, you know 11,816 ÷ 1688 = 7 and 11,816 ÷ 7 = 1688. Practising the table and its division facts together halves the work.

1688 times table practice worksheet

  1. 1688 × 9 = ______
  2. 1688 × 3 = ______
  3. 1688 × 9 = ______
  4. 1688 × 2 = ______
  5. 1688 × 10 = ______
  6. 1688 × 12 = ______
  7. 1688 × 2 = ______
  8. 1688 × 3 = ______
  9. 1688 × 6 = ______
  10. 1688 × 2 = ______
  11. 1688 × 6 = ______
  12. 1688 × 9 = ______
Answer key
  1. 15,192
  2. 5,064
  3. 15,192
  4. 3,376
  5. 16,880
  6. 20,256
  7. 3,376
  8. 5,064
  9. 10,128
  10. 3,376
  11. 10,128
  12. 15,192

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 1688 pencils. How many pencils are in 3 boxes?
    Answer3 × 1688 = 5,064 pencils.
  2. Tickets cost $1688 each. How much do 11 tickets cost?
    Answer11 × $1688 = $18,568.
  3. 13,504 chairs are set out in rows of 1688. How many rows are there?
    Answer13,504 ÷ 1688 = 8 rows.
  4. A plant grows 1688 millimetres a week. How much does it grow in 12 weeks?
    Answer12 × 1688 = 20,256 millimetres.

About this page

The table, the patterns and the practice questions are all calculated for 1688 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 1688 × 12?

20,256.

What is half of 1688 × 8?

1688 × 8 = 13,504, and half of that is 6,752, which is 1688 × 4. Halving one factor halves the answer.

What is 1688 times 0?

0. Any number multiplied by zero is zero, because zero groups of 1688 contain nothing.

What is 1688 × 7 and 1688 × 8?

1688 × 7 = 11,816 and 1688 × 8 = 13,504. These two are the facts most people find hardest, so they are worth practising on their own.

Is 25,320 in the 1688 times table?

Yes: 25,320 ÷ 1688 = 15 with no remainder. 25,321 is not, because dividing it by 1688 leaves a remainder of 1.

How do I learn the 1688 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.