Sumwise

1657 Times (1657×) Multiplication Table

1657 times table, 1 to 20

1657 × 11,657
1657 × 23,314
1657 × 34,971
1657 × 46,628
1657 × 58,285
1657 × 69,942
1657 × 711,599
1657 × 813,256
1657 × 914,913
1657 × 1016,570
1657 × 1118,227
1657 × 1219,884
1657 × 1321,541
1657 × 1423,198
1657 × 1524,855
1657 × 1626,512
1657 × 1728,169
1657 × 1829,826
1657 × 1931,483
1657 × 2033,140

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: 1657 × k = 1650 × k + 7 × k.
  • Each answer is 1657 more than the one before, so you can count on in steps of 1657.

Building it from tables you already know

To multiply 1657 by 9, multiply by 10 and take one 1657 away: 16,570 − 1657 = 14,913. To multiply by 11, multiply by 10 and add one more 1657: 16,570 + 1657 = 18,227. Multiplying by 4 is doubling twice: 1657 → 3,314 → 6,628.

Every multiple of 1657 is at least 1657, so there are none below 100 and 0 below 1,000. A number is in the 1657 times table exactly when it divides by 1657 with no remainder.

Odd, even and the last digit

Because 1657 is odd, the answers alternate between odd and even: 1657 × 1 = 1657 is odd, 1657 × 2 = 3,314 is even, and so on. Multiplying by 10 always puts a zero on the end: 1657 × 10 = 16,570, and 1657 × 100 = 165,700. Multiplying by 5 is half of multiplying by 10: half of 16,570 is 8,285.

Using the 1657 times table to divide

Every fact also works backwards: because 1657 × 7 = 11,599, you know 11,599 ÷ 1657 = 7 and 11,599 ÷ 7 = 1657. Practising the table and its division facts together halves the work.

1657 times table practice worksheet

  1. 1657 × 7 = ______
  2. 1657 × 5 = ______
  3. 1657 × 12 = ______
  4. 1657 × 2 = ______
  5. 1657 × 10 = ______
  6. 1657 × 6 = ______
  7. 1657 × 1 = ______
  8. 1657 × 9 = ______
  9. 1657 × 8 = ______
  10. 1657 × 1 = ______
  11. 1657 × 7 = ______
  12. 1657 × 7 = ______
Answer key
  1. 11,599
  2. 8,285
  3. 19,884
  4. 3,314
  5. 16,570
  6. 9,942
  7. 1,657
  8. 14,913
  9. 13,256
  10. 1,657
  11. 11,599
  12. 11,599

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 1657 pencils. How many pencils are in 5 boxes?
    Answer5 × 1657 = 8,285 pencils.
  2. Tickets cost $1657 each. How much do 11 tickets cost?
    Answer11 × $1657 = $18,227.
  3. 11,599 chairs are set out in rows of 1657. How many rows are there?
    Answer11,599 ÷ 1657 = 7 rows.
  4. A plant grows 1657 millimetres a week. How much does it grow in 12 weeks?
    Answer12 × 1657 = 19,884 millimetres.

About this page

The table, the patterns and the practice questions are all calculated for 1657 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 1657 × 12?

19,884.

What is half of 1657 × 8?

1657 × 8 = 13,256, and half of that is 6,628, which is 1657 × 4. Halving one factor halves the answer.

What is 1657 times 0?

0. Any number multiplied by zero is zero, because zero groups of 1657 contain nothing.

What is 1657 × 7 and 1657 × 8?

1657 × 7 = 11,599 and 1657 × 8 = 13,256. These two are the facts most people find hardest, so they are worth practising on their own.

Is 24,855 in the 1657 times table?

Yes: 24,855 ÷ 1657 = 15 with no remainder. 24,856 is not, because dividing it by 1657 leaves a remainder of 1.

How do I learn the 1657 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.