Sumwise

1972 Times (1972×) Multiplication Table

1972 times table, 1 to 20

1972 × 11,972
1972 × 23,944
1972 × 35,916
1972 × 47,888
1972 × 59,860
1972 × 611,832
1972 × 713,804
1972 × 815,776
1972 × 917,748
1972 × 1019,720
1972 × 1121,692
1972 × 1223,664
1972 × 1325,636
1972 × 1427,608
1972 × 1529,580
1972 × 1631,552
1972 × 1733,524
1972 × 1835,496
1972 × 1937,468
1972 × 2039,440

Patterns that help you remember it

  • The last digits repeat in a cycle of 5: 2, 4, 6, 8, 0.
  • Every answer is even, because 1972 is even.
  • Split it into tens and ones: 1972 × k = 1970 × k + 2 × k.
  • Each answer is 1972 more than the one before, so you can count on in steps of 1972.

Building it from tables you already know

Every answer in the 1972 times table is double the answer in the 986 times table: 986 × 6 = 5,916, so 1972 × 6 = 11,832. To multiply 1972 by 9, multiply by 10 and take one 1972 away: 19,720 − 1972 = 17,748. To multiply by 11, multiply by 10 and add one more 1972: 19,720 + 1972 = 21,692. Multiplying by 4 is doubling twice: 1972 → 3,944 → 7,888.

Every multiple of 1972 is at least 1972, so there are none below 100 and 0 below 1,000. A number is in the 1972 times table exactly when it divides by 1972 with no remainder.

Odd, even and the last digit

Because 1972 is even, every answer in its table is even, which is a quick way to catch a wrong answer. Multiplying by 10 always puts a zero on the end: 1972 × 10 = 19,720, and 1972 × 100 = 197,200. Multiplying by 5 is half of multiplying by 10: half of 19,720 is 9,860.

Using the 1972 times table to divide

Every fact also works backwards: because 1972 × 7 = 13,804, you know 13,804 ÷ 1972 = 7 and 13,804 ÷ 7 = 1972. Practising the table and its division facts together halves the work.

1972 times table practice worksheet

  1. 1972 × 12 = ______
  2. 1972 × 5 = ______
  3. 1972 × 4 = ______
  4. 1972 × 7 = ______
  5. 1972 × 8 = ______
  6. 1972 × 3 = ______
  7. 1972 × 3 = ______
  8. 1972 × 10 = ______
  9. 1972 × 11 = ______
  10. 1972 × 2 = ______
  11. 1972 × 1 = ______
  12. 1972 × 2 = ______
Answer key
  1. 23,664
  2. 9,860
  3. 7,888
  4. 13,804
  5. 15,776
  6. 5,916
  7. 5,916
  8. 19,720
  9. 21,692
  10. 3,944
  11. 1,972
  12. 3,944

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 1972 pencils. How many pencils are in 8 boxes?
    Answer8 × 1972 = 15,776 pencils.
  2. Tickets cost $1972 each. How much do 12 tickets cost?
    Answer12 × $1972 = $23,664.
  3. 15,776 chairs are set out in rows of 1972. How many rows are there?
    Answer15,776 ÷ 1972 = 8 rows.
  4. A plant grows 1972 millimetres a week. How much does it grow in 7 weeks?
    Answer7 × 1972 = 13,804 millimetres.

About this page

The table, the patterns and the practice questions are all calculated for 1972 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 1972 × 12?

23,664.

What is half of 1972 × 8?

1972 × 8 = 15,776, and half of that is 7,888, which is 1972 × 4. Halving one factor halves the answer.

What is 1972 times 0?

0. Any number multiplied by zero is zero, because zero groups of 1972 contain nothing.

What is 1972 × 7 and 1972 × 8?

1972 × 7 = 13,804 and 1972 × 8 = 15,776. These two are the facts most people find hardest, so they are worth practising on their own.

Is 29,580 in the 1972 times table?

Yes: 29,580 ÷ 1972 = 15 with no remainder. 29,581 is not, because dividing it by 1972 leaves a remainder of 1.

How do I learn the 1972 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.