Sumwise

972 Times (972×) Multiplication Table

972 times table, 1 to 20

972 × 1972
972 × 21,944
972 × 32,916
972 × 43,888
972 × 54,860
972 × 65,832
972 × 76,804
972 × 87,776
972 × 98,748
972 × 109,720
972 × 1110,692
972 × 1211,664
972 × 1312,636
972 × 1413,608
972 × 1514,580
972 × 1615,552
972 × 1716,524
972 × 1817,496
972 × 1918,468
972 × 2019,440

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 972 is even.
  • The digits of every answer add up to a multiple of 9.
  • Split it into tens and ones: 972 × k = 970 × k + 2 × k.
  • Each answer is 972 more than the one before, so you can count on in steps of 972.

Building it from tables you already know

Every answer in the 972 times table is double the answer in the 486 times table: 486 × 6 = 2,916, so 972 × 6 = 5,832. To multiply 972 by 9, multiply by 10 and take one 972 away: 9,720 − 972 = 8,748. To multiply by 11, multiply by 10 and add one more 972: 9,720 + 972 = 10,692. Multiplying by 4 is doubling twice: 972 → 1,944 → 3,888.

Every multiple of 972 is at least 972, so there are none below 100 and 1 below 1,000. A number is in the 972 times table exactly when it divides by 972 with no remainder.

Odd, even and the last digit

Because 972 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: 972 × 10 = 9,720, and 972 × 100 = 97,200. Multiplying by 5 is half of multiplying by 10: half of 9,720 is 4,860.

Using the 972 times table to divide

Every fact also works backwards: because 972 × 7 = 6,804, you know 6,804 ÷ 972 = 7 and 6,804 ÷ 7 = 972. Practising the table and its division facts together halves the work.

972 times table practice worksheet

  1. 972 × 12 = ______
  2. 972 × 1 = ______
  3. 972 × 2 = ______
  4. 972 × 10 = ______
  5. 972 × 10 = ______
  6. 972 × 12 = ______
  7. 972 × 6 = ______
  8. 972 × 1 = ______
  9. 972 × 4 = ______
  10. 972 × 3 = ______
  11. 972 × 11 = ______
  12. 972 × 2 = ______
Answer key
  1. 11,664
  2. 972
  3. 1,944
  4. 9,720
  5. 9,720
  6. 11,664
  7. 5,832
  8. 972
  9. 3,888
  10. 2,916
  11. 10,692
  12. 1,944

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 972 pencils. How many pencils are in 9 boxes?
    Answer9 × 972 = 8,748 pencils.
  2. Tickets cost $972 each. How much do 5 tickets cost?
    Answer5 × $972 = $4,860.
  3. 7,776 chairs are set out in rows of 972. How many rows are there?
    Answer7,776 ÷ 972 = 8 rows.
  4. A plant grows 972 millimetres a week. How much does it grow in 10 weeks?
    Answer10 × 972 = 9,720 millimetres.

About this page

The table, the patterns and the practice questions are all calculated for 972 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 972 × 12?

11,664.

What is half of 972 × 8?

972 × 8 = 7,776, and half of that is 3,888, which is 972 × 4. Halving one factor halves the answer.

What is 972 times 0?

0. Any number multiplied by zero is zero, because zero groups of 972 contain nothing.

What is 972 × 7 and 972 × 8?

972 × 7 = 6,804 and 972 × 8 = 7,776. These two are the facts most people find hardest, so they are worth practising on their own.

Is 14,580 in the 972 times table?

Yes: 14,580 ÷ 972 = 15 with no remainder. 14,581 is not, because dividing it by 972 leaves a remainder of 1.

How do I learn the 972 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.