Sumwise

31 Times (31×) Multiplication Table

31 times table, 1 to 20

31 × 131
31 × 262
31 × 393
31 × 4124
31 × 5155
31 × 6186
31 × 7217
31 × 8248
31 × 9279
31 × 10310
31 × 11341
31 × 12372
31 × 13403
31 × 14434
31 × 15465
31 × 16496
31 × 17527
31 × 18558
31 × 19589
31 × 20620

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: 31 × k = 30 × k + 1 × k.
  • Each answer is 31 more than the one before, so you can count on in steps of 31.

Building it from tables you already know

To multiply 31 by 9, multiply by 10 and take one 31 away: 310 − 31 = 279. To multiply by 11, multiply by 10 and add one more 31: 310 + 31 = 341. Multiplying by 4 is doubling twice: 31 → 62 → 124.

There are 3 multiples of 31 below 100, and 32 below 1,000. A number is in the 31 times table exactly when it divides by 31 with no remainder.

Odd, even and the last digit

Because 31 is odd, the answers alternate between odd and even: 31 × 1 = 31 is odd, 31 × 2 = 62 is even, and so on. Multiplying by 10 always puts a zero on the end: 31 × 10 = 310, and 31 × 100 = 3,100. Multiplying by 5 is half of multiplying by 10: half of 310 is 155.

Using the 31 times table to divide

Every fact also works backwards: because 31 × 7 = 217, you know 217 ÷ 31 = 7 and 217 ÷ 7 = 31. Practising the table and its division facts together halves the work.

31 times table practice worksheet

  1. 31 × 3 = ______
  2. 31 × 1 = ______
  3. 31 × 9 = ______
  4. 31 × 7 = ______
  5. 31 × 1 = ______
  6. 31 × 10 = ______
  7. 31 × 1 = ______
  8. 31 × 6 = ______
  9. 31 × 11 = ______
  10. 31 × 4 = ______
  11. 31 × 9 = ______
  12. 31 × 11 = ______
Answer key
  1. 93
  2. 31
  3. 279
  4. 217
  5. 31
  6. 310
  7. 31
  8. 186
  9. 341
  10. 124
  11. 279
  12. 341

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 31 pencils. How many pencils are in 4 boxes?
    Answer4 × 31 = 124 pencils.
  2. Tickets cost $31 each. How much do 4 tickets cost?
    Answer4 × $31 = $124.
  3. 155 chairs are set out in rows of 31. How many rows are there?
    Answer155 ÷ 31 = 5 rows.
  4. A plant grows 31 millimetres a week. How much does it grow in 10 weeks?
    Answer10 × 31 = 310 millimetres.

About this page

The table, the patterns and the practice questions are all calculated for 31 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 31 × 12?

372.

What is half of 31 × 8?

31 × 8 = 248, and half of that is 124, which is 31 × 4. Halving one factor halves the answer.

What is 31 times 0?

0. Any number multiplied by zero is zero, because zero groups of 31 contain nothing.

What is 31 × 7 and 31 × 8?

31 × 7 = 217 and 31 × 8 = 248. These two are the facts most people find hardest, so they are worth practising on their own.

Is 465 in the 31 times table?

Yes: 465 ÷ 31 = 15 with no remainder. 466 is not, because dividing it by 31 leaves a remainder of 1.

How do I learn the 31 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.