Sumwise

1971 Times (1971×) Multiplication Table

1971 times table, 1 to 20

1971 × 11,971
1971 × 23,942
1971 × 35,913
1971 × 47,884
1971 × 59,855
1971 × 611,826
1971 × 713,797
1971 × 815,768
1971 × 917,739
1971 × 1019,710
1971 × 1121,681
1971 × 1223,652
1971 × 1325,623
1971 × 1427,594
1971 × 1529,565
1971 × 1631,536
1971 × 1733,507
1971 × 1835,478
1971 × 1937,449
1971 × 2039,420

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.
  • The digits of every answer add up to a multiple of 9.
  • Split it into tens and ones: 1971 × k = 1970 × k + 1 × k.
  • Each answer is 1971 more than the one before, so you can count on in steps of 1971.

Building it from tables you already know

To multiply 1971 by 9, multiply by 10 and take one 1971 away: 19,710 − 1971 = 17,739. To multiply by 11, multiply by 10 and add one more 1971: 19,710 + 1971 = 21,681. Multiplying by 4 is doubling twice: 1971 → 3,942 → 7,884.

Every multiple of 1971 is at least 1971, so there are none below 100 and 0 below 1,000. A number is in the 1971 times table exactly when it divides by 1971 with no remainder.

Odd, even and the last digit

Because 1971 is odd, the answers alternate between odd and even: 1971 × 1 = 1971 is odd, 1971 × 2 = 3,942 is even, and so on. Multiplying by 10 always puts a zero on the end: 1971 × 10 = 19,710, and 1971 × 100 = 197,100. Multiplying by 5 is half of multiplying by 10: half of 19,710 is 9,855.

Using the 1971 times table to divide

Every fact also works backwards: because 1971 × 7 = 13,797, you know 13,797 ÷ 1971 = 7 and 13,797 ÷ 7 = 1971. Practising the table and its division facts together halves the work.

1971 times table practice worksheet

  1. 1971 × 12 = ______
  2. 1971 × 12 = ______
  3. 1971 × 7 = ______
  4. 1971 × 2 = ______
  5. 1971 × 12 = ______
  6. 1971 × 6 = ______
  7. 1971 × 11 = ______
  8. 1971 × 6 = ______
  9. 1971 × 8 = ______
  10. 1971 × 3 = ______
  11. 1971 × 6 = ______
  12. 1971 × 8 = ______
Answer key
  1. 23,652
  2. 23,652
  3. 13,797
  4. 3,942
  5. 23,652
  6. 11,826
  7. 21,681
  8. 11,826
  9. 15,768
  10. 5,913
  11. 11,826
  12. 15,768

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 1971 pencils. How many pencils are in 8 boxes?
    Answer8 × 1971 = 15,768 pencils.
  2. Tickets cost $1971 each. How much do 12 tickets cost?
    Answer12 × $1971 = $23,652.
  3. 13,797 chairs are set out in rows of 1971. How many rows are there?
    Answer13,797 ÷ 1971 = 7 rows.
  4. A plant grows 1971 millimetres a week. How much does it grow in 12 weeks?
    Answer12 × 1971 = 23,652 millimetres.

About this page

The table, the patterns and the practice questions are all calculated for 1971 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 1971 × 12?

23,652.

What is half of 1971 × 8?

1971 × 8 = 15,768, and half of that is 7,884, which is 1971 × 4. Halving one factor halves the answer.

What is 1971 times 0?

0. Any number multiplied by zero is zero, because zero groups of 1971 contain nothing.

What is 1971 × 7 and 1971 × 8?

1971 × 7 = 13,797 and 1971 × 8 = 15,768. These two are the facts most people find hardest, so they are worth practising on their own.

Is 29,565 in the 1971 times table?

Yes: 29,565 ÷ 1971 = 15 with no remainder. 29,566 is not, because dividing it by 1971 leaves a remainder of 1.

How do I learn the 1971 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.