Sumwise

871 Times (871×) Multiplication Table

871 times table, 1 to 20

871 × 1871
871 × 21,742
871 × 32,613
871 × 43,484
871 × 54,355
871 × 65,226
871 × 76,097
871 × 86,968
871 × 97,839
871 × 108,710
871 × 119,581
871 × 1210,452
871 × 1311,323
871 × 1412,194
871 × 1513,065
871 × 1613,936
871 × 1714,807
871 × 1815,678
871 × 1916,549
871 × 2017,420

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: 871 × k = 870 × k + 1 × k.
  • Each answer is 871 more than the one before, so you can count on in steps of 871.

Building it from tables you already know

To multiply 871 by 9, multiply by 10 and take one 871 away: 8,710 − 871 = 7,839. To multiply by 11, multiply by 10 and add one more 871: 8,710 + 871 = 9,581. Multiplying by 4 is doubling twice: 871 → 1,742 → 3,484.

Every multiple of 871 is at least 871, so there are none below 100 and 1 below 1,000. A number is in the 871 times table exactly when it divides by 871 with no remainder.

Odd, even and the last digit

Because 871 is odd, the answers alternate between odd and even: 871 × 1 = 871 is odd, 871 × 2 = 1,742 is even, and so on. Multiplying by 10 always puts a zero on the end: 871 × 10 = 8,710, and 871 × 100 = 87,100. Multiplying by 5 is half of multiplying by 10: half of 8,710 is 4,355.

Using the 871 times table to divide

Every fact also works backwards: because 871 × 7 = 6,097, you know 6,097 ÷ 871 = 7 and 6,097 ÷ 7 = 871. Practising the table and its division facts together halves the work.

871 times table practice worksheet

  1. 871 × 1 = ______
  2. 871 × 3 = ______
  3. 871 × 8 = ______
  4. 871 × 12 = ______
  5. 871 × 12 = ______
  6. 871 × 10 = ______
  7. 871 × 7 = ______
  8. 871 × 7 = ______
  9. 871 × 2 = ______
  10. 871 × 3 = ______
  11. 871 × 8 = ______
  12. 871 × 8 = ______
Answer key
  1. 871
  2. 2,613
  3. 6,968
  4. 10,452
  5. 10,452
  6. 8,710
  7. 6,097
  8. 6,097
  9. 1,742
  10. 2,613
  11. 6,968
  12. 6,968

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 871 pencils. How many pencils are in 8 boxes?
    Answer8 × 871 = 6,968 pencils.
  2. Tickets cost $871 each. How much do 6 tickets cost?
    Answer6 × $871 = $5,226.
  3. 2,613 chairs are set out in rows of 871. How many rows are there?
    Answer2,613 ÷ 871 = 3 rows.
  4. A plant grows 871 millimetres a week. How much does it grow in 11 weeks?
    Answer11 × 871 = 9,581 millimetres.

About this page

The table, the patterns and the practice questions are all calculated for 871 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 871 × 12?

10,452.

What is half of 871 × 8?

871 × 8 = 6,968, and half of that is 3,484, which is 871 × 4. Halving one factor halves the answer.

What is 871 times 0?

0. Any number multiplied by zero is zero, because zero groups of 871 contain nothing.

What is 871 × 7 and 871 × 8?

871 × 7 = 6,097 and 871 × 8 = 6,968. These two are the facts most people find hardest, so they are worth practising on their own.

Is 13,065 in the 871 times table?

Yes: 13,065 ÷ 871 = 15 with no remainder. 13,066 is not, because dividing it by 871 leaves a remainder of 1.

How do I learn the 871 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.