Sumwise

971 Times (971×) Multiplication Table

971 times table, 1 to 20

971 × 1971
971 × 21,942
971 × 32,913
971 × 43,884
971 × 54,855
971 × 65,826
971 × 76,797
971 × 87,768
971 × 98,739
971 × 109,710
971 × 1110,681
971 × 1211,652
971 × 1312,623
971 × 1413,594
971 × 1514,565
971 × 1615,536
971 × 1716,507
971 × 1817,478
971 × 1918,449
971 × 2019,420

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: 971 × k = 970 × k + 1 × k.
  • Each answer is 971 more than the one before, so you can count on in steps of 971.

Building it from tables you already know

To multiply 971 by 9, multiply by 10 and take one 971 away: 9,710 − 971 = 8,739. To multiply by 11, multiply by 10 and add one more 971: 9,710 + 971 = 10,681. Multiplying by 4 is doubling twice: 971 → 1,942 → 3,884.

Every multiple of 971 is at least 971, so there are none below 100 and 1 below 1,000. A number is in the 971 times table exactly when it divides by 971 with no remainder.

Odd, even and the last digit

Because 971 is odd, the answers alternate between odd and even: 971 × 1 = 971 is odd, 971 × 2 = 1,942 is even, and so on. Multiplying by 10 always puts a zero on the end: 971 × 10 = 9,710, and 971 × 100 = 97,100. Multiplying by 5 is half of multiplying by 10: half of 9,710 is 4,855.

Using the 971 times table to divide

Every fact also works backwards: because 971 × 7 = 6,797, you know 6,797 ÷ 971 = 7 and 6,797 ÷ 7 = 971. Practising the table and its division facts together halves the work.

971 times table practice worksheet

  1. 971 × 12 = ______
  2. 971 × 7 = ______
  3. 971 × 5 = ______
  4. 971 × 6 = ______
  5. 971 × 10 = ______
  6. 971 × 10 = ______
  7. 971 × 3 = ______
  8. 971 × 10 = ______
  9. 971 × 9 = ______
  10. 971 × 2 = ______
  11. 971 × 2 = ______
  12. 971 × 9 = ______
Answer key
  1. 11,652
  2. 6,797
  3. 4,855
  4. 5,826
  5. 9,710
  6. 9,710
  7. 2,913
  8. 9,710
  9. 8,739
  10. 1,942
  11. 1,942
  12. 8,739

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 971 pencils. How many pencils are in 9 boxes?
    Answer9 × 971 = 8,739 pencils.
  2. Tickets cost $971 each. How much do 4 tickets cost?
    Answer4 × $971 = $3,884.
  3. 6,797 chairs are set out in rows of 971. How many rows are there?
    Answer6,797 ÷ 971 = 7 rows.
  4. A plant grows 971 millimetres a week. How much does it grow in 7 weeks?
    Answer7 × 971 = 6,797 millimetres.

About this page

The table, the patterns and the practice questions are all calculated for 971 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 971 × 12?

11,652.

What is half of 971 × 8?

971 × 8 = 7,768, and half of that is 3,884, which is 971 × 4. Halving one factor halves the answer.

What is 971 times 0?

0. Any number multiplied by zero is zero, because zero groups of 971 contain nothing.

What is 971 × 7 and 971 × 8?

971 × 7 = 6,797 and 971 × 8 = 7,768. These two are the facts most people find hardest, so they are worth practising on their own.

Is 14,565 in the 971 times table?

Yes: 14,565 ÷ 971 = 15 with no remainder. 14,566 is not, because dividing it by 971 leaves a remainder of 1.

How do I learn the 971 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.