Sumwise

657 Times (657×) Multiplication Table

657 times table, 1 to 20

657 × 1657
657 × 21,314
657 × 31,971
657 × 42,628
657 × 53,285
657 × 63,942
657 × 74,599
657 × 85,256
657 × 95,913
657 × 106,570
657 × 117,227
657 × 127,884
657 × 138,541
657 × 149,198
657 × 159,855
657 × 1610,512
657 × 1711,169
657 × 1811,826
657 × 1912,483
657 × 2013,140

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.
  • The digits of every answer add up to a multiple of 9.
  • Split it into tens and ones: 657 × k = 650 × k + 7 × k.
  • Each answer is 657 more than the one before, so you can count on in steps of 657.

Building it from tables you already know

To multiply 657 by 9, multiply by 10 and take one 657 away: 6,570 − 657 = 5,913. To multiply by 11, multiply by 10 and add one more 657: 6,570 + 657 = 7,227. Multiplying by 4 is doubling twice: 657 → 1,314 → 2,628.

Every multiple of 657 is at least 657, so there are none below 100 and 1 below 1,000. A number is in the 657 times table exactly when it divides by 657 with no remainder.

Odd, even and the last digit

Because 657 is odd, the answers alternate between odd and even: 657 × 1 = 657 is odd, 657 × 2 = 1,314 is even, and so on. Multiplying by 10 always puts a zero on the end: 657 × 10 = 6,570, and 657 × 100 = 65,700. Multiplying by 5 is half of multiplying by 10: half of 6,570 is 3,285.

Using the 657 times table to divide

Every fact also works backwards: because 657 × 7 = 4,599, you know 4,599 ÷ 657 = 7 and 4,599 ÷ 7 = 657. Practising the table and its division facts together halves the work.

657 times table practice worksheet

  1. 657 × 12 = ______
  2. 657 × 12 = ______
  3. 657 × 7 = ______
  4. 657 × 12 = ______
  5. 657 × 12 = ______
  6. 657 × 2 = ______
  7. 657 × 6 = ______
  8. 657 × 6 = ______
  9. 657 × 3 = ______
  10. 657 × 1 = ______
  11. 657 × 3 = ______
  12. 657 × 8 = ______
Answer key
  1. 7,884
  2. 7,884
  3. 4,599
  4. 7,884
  5. 7,884
  6. 1,314
  7. 3,942
  8. 3,942
  9. 1,971
  10. 657
  11. 1,971
  12. 5,256

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 657 pencils. How many pencils are in 5 boxes?
    Answer5 × 657 = 3,285 pencils.
  2. Tickets cost $657 each. How much do 6 tickets cost?
    Answer6 × $657 = $3,942.
  3. 3,942 chairs are set out in rows of 657. How many rows are there?
    Answer3,942 ÷ 657 = 6 rows.
  4. A plant grows 657 millimetres a week. How much does it grow in 11 weeks?
    Answer11 × 657 = 7,227 millimetres.

About this page

The table, the patterns and the practice questions are all calculated for 657 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 657 × 12?

7,884.

What is half of 657 × 8?

657 × 8 = 5,256, and half of that is 2,628, which is 657 × 4. Halving one factor halves the answer.

What is 657 times 0?

0. Any number multiplied by zero is zero, because zero groups of 657 contain nothing.

What is 657 × 7 and 657 × 8?

657 × 7 = 4,599 and 657 × 8 = 5,256. These two are the facts most people find hardest, so they are worth practising on their own.

Is 9,855 in the 657 times table?

Yes: 9,855 ÷ 657 = 15 with no remainder. 9,856 is not, because dividing it by 657 leaves a remainder of 1.

How do I learn the 657 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.