Sumwise

1961 Times (1961×) Multiplication Table

1961 times table, 1 to 20

1961 × 11,961
1961 × 23,922
1961 × 35,883
1961 × 47,844
1961 × 59,805
1961 × 611,766
1961 × 713,727
1961 × 815,688
1961 × 917,649
1961 × 1019,610
1961 × 1121,571
1961 × 1223,532
1961 × 1325,493
1961 × 1427,454
1961 × 1529,415
1961 × 1631,376
1961 × 1733,337
1961 × 1835,298
1961 × 1937,259
1961 × 2039,220

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: 1961 × k = 1960 × k + 1 × k.
  • Each answer is 1961 more than the one before, so you can count on in steps of 1961.

Building it from tables you already know

To multiply 1961 by 9, multiply by 10 and take one 1961 away: 19,610 − 1961 = 17,649. To multiply by 11, multiply by 10 and add one more 1961: 19,610 + 1961 = 21,571. Multiplying by 4 is doubling twice: 1961 → 3,922 → 7,844.

Every multiple of 1961 is at least 1961, so there are none below 100 and 0 below 1,000. A number is in the 1961 times table exactly when it divides by 1961 with no remainder.

Odd, even and the last digit

Because 1961 is odd, the answers alternate between odd and even: 1961 × 1 = 1961 is odd, 1961 × 2 = 3,922 is even, and so on. Multiplying by 10 always puts a zero on the end: 1961 × 10 = 19,610, and 1961 × 100 = 196,100. Multiplying by 5 is half of multiplying by 10: half of 19,610 is 9,805.

Using the 1961 times table to divide

Every fact also works backwards: because 1961 × 7 = 13,727, you know 13,727 ÷ 1961 = 7 and 13,727 ÷ 7 = 1961. Practising the table and its division facts together halves the work.

1961 times table practice worksheet

  1. 1961 × 10 = ______
  2. 1961 × 9 = ______
  3. 1961 × 6 = ______
  4. 1961 × 10 = ______
  5. 1961 × 5 = ______
  6. 1961 × 9 = ______
  7. 1961 × 11 = ______
  8. 1961 × 12 = ______
  9. 1961 × 8 = ______
  10. 1961 × 9 = ______
  11. 1961 × 2 = ______
  12. 1961 × 9 = ______
Answer key
  1. 19,610
  2. 17,649
  3. 11,766
  4. 19,610
  5. 9,805
  6. 17,649
  7. 21,571
  8. 23,532
  9. 15,688
  10. 17,649
  11. 3,922
  12. 17,649

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 1961 pencils. How many pencils are in 8 boxes?
    Answer8 × 1961 = 15,688 pencils.
  2. Tickets cost $1961 each. How much do 10 tickets cost?
    Answer10 × $1961 = $19,610.
  3. 15,688 chairs are set out in rows of 1961. How many rows are there?
    Answer15,688 ÷ 1961 = 8 rows.
  4. A plant grows 1961 millimetres a week. How much does it grow in 11 weeks?
    Answer11 × 1961 = 21,571 millimetres.

About this page

The table, the patterns and the practice questions are all calculated for 1961 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 1961 × 12?

23,532.

What is half of 1961 × 8?

1961 × 8 = 15,688, and half of that is 7,844, which is 1961 × 4. Halving one factor halves the answer.

What is 1961 times 0?

0. Any number multiplied by zero is zero, because zero groups of 1961 contain nothing.

What is 1961 × 7 and 1961 × 8?

1961 × 7 = 13,727 and 1961 × 8 = 15,688. These two are the facts most people find hardest, so they are worth practising on their own.

Is 29,415 in the 1961 times table?

Yes: 29,415 ÷ 1961 = 15 with no remainder. 29,416 is not, because dividing it by 1961 leaves a remainder of 1.

How do I learn the 1961 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.