Sumwise

821 Times (821×) Multiplication Table

821 times table, 1 to 20

821 × 1821
821 × 21,642
821 × 32,463
821 × 43,284
821 × 54,105
821 × 64,926
821 × 75,747
821 × 86,568
821 × 97,389
821 × 108,210
821 × 119,031
821 × 129,852
821 × 1310,673
821 × 1411,494
821 × 1512,315
821 × 1613,136
821 × 1713,957
821 × 1814,778
821 × 1915,599
821 × 2016,420

Patterns that help you remember it

  • The last digits repeat in a cycle of 10: 1, 2, 3, 4, 5, 6, 7, 8, 9, 0.
  • Split it into tens and ones: 821 × k = 820 × k + 1 × k.
  • Each answer is 821 more than the one before, so you can count on in steps of 821.

Building it from tables you already know

To multiply 821 by 9, multiply by 10 and take one 821 away: 8,210 − 821 = 7,389. To multiply by 11, multiply by 10 and add one more 821: 8,210 + 821 = 9,031. Multiplying by 4 is doubling twice: 821 → 1,642 → 3,284.

Every multiple of 821 is at least 821, so there are none below 100 and 1 below 1,000. A number is in the 821 times table exactly when it divides by 821 with no remainder.

Odd, even and the last digit

Because 821 is odd, the answers alternate between odd and even: 821 × 1 = 821 is odd, 821 × 2 = 1,642 is even, and so on. Multiplying by 10 always puts a zero on the end: 821 × 10 = 8,210, and 821 × 100 = 82,100. Multiplying by 5 is half of multiplying by 10: half of 8,210 is 4,105.

Using the 821 times table to divide

Every fact also works backwards: because 821 × 7 = 5,747, you know 5,747 ÷ 821 = 7 and 5,747 ÷ 7 = 821. Practising the table and its division facts together halves the work.

821 times table practice worksheet

  1. 821 × 12 = ______
  2. 821 × 1 = ______
  3. 821 × 3 = ______
  4. 821 × 1 = ______
  5. 821 × 3 = ______
  6. 821 × 5 = ______
  7. 821 × 11 = ______
  8. 821 × 2 = ______
  9. 821 × 10 = ______
  10. 821 × 12 = ______
  11. 821 × 5 = ______
  12. 821 × 1 = ______
Answer key
  1. 9,852
  2. 821
  3. 2,463
  4. 821
  5. 2,463
  6. 4,105
  7. 9,031
  8. 1,642
  9. 8,210
  10. 9,852
  11. 4,105
  12. 821

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 821 pencils. How many pencils are in 7 boxes?
    Answer7 × 821 = 5,747 pencils.
  2. Tickets cost $821 each. How much do 7 tickets cost?
    Answer7 × $821 = $5,747.
  3. 4,105 chairs are set out in rows of 821. How many rows are there?
    Answer4,105 ÷ 821 = 5 rows.
  4. A plant grows 821 millimetres a week. How much does it grow in 10 weeks?
    Answer10 × 821 = 8,210 millimetres.

About this page

The table, the patterns and the practice questions are all calculated for 821 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 821 × 12?

9,852.

What is half of 821 × 8?

821 × 8 = 6,568, and half of that is 3,284, which is 821 × 4. Halving one factor halves the answer.

What is 821 times 0?

0. Any number multiplied by zero is zero, because zero groups of 821 contain nothing.

What is 821 × 7 and 821 × 8?

821 × 7 = 5,747 and 821 × 8 = 6,568. These two are the facts most people find hardest, so they are worth practising on their own.

Is 12,315 in the 821 times table?

Yes: 12,315 ÷ 821 = 15 with no remainder. 12,316 is not, because dividing it by 821 leaves a remainder of 1.

How do I learn the 821 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.