Sumwise

1582 Times (1582×) Multiplication Table

1582 times table, 1 to 20

1582 × 11,582
1582 × 23,164
1582 × 34,746
1582 × 46,328
1582 × 57,910
1582 × 69,492
1582 × 711,074
1582 × 812,656
1582 × 914,238
1582 × 1015,820
1582 × 1117,402
1582 × 1218,984
1582 × 1320,566
1582 × 1422,148
1582 × 1523,730
1582 × 1625,312
1582 × 1726,894
1582 × 1828,476
1582 × 1930,058
1582 × 2031,640

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 1582 is even.
  • Split it into tens and ones: 1582 × k = 1580 × k + 2 × k.
  • Each answer is 1582 more than the one before, so you can count on in steps of 1582.

Building it from tables you already know

Every answer in the 1582 times table is double the answer in the 791 times table: 791 × 6 = 4,746, so 1582 × 6 = 9,492. To multiply 1582 by 9, multiply by 10 and take one 1582 away: 15,820 − 1582 = 14,238. To multiply by 11, multiply by 10 and add one more 1582: 15,820 + 1582 = 17,402. Multiplying by 4 is doubling twice: 1582 → 3,164 → 6,328.

Every multiple of 1582 is at least 1582, so there are none below 100 and 0 below 1,000. A number is in the 1582 times table exactly when it divides by 1582 with no remainder.

Odd, even and the last digit

Because 1582 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: 1582 × 10 = 15,820, and 1582 × 100 = 158,200. Multiplying by 5 is half of multiplying by 10: half of 15,820 is 7,910.

Using the 1582 times table to divide

Every fact also works backwards: because 1582 × 7 = 11,074, you know 11,074 ÷ 1582 = 7 and 11,074 ÷ 7 = 1582. Practising the table and its division facts together halves the work.

1582 times table practice worksheet

  1. 1582 × 1 = ______
  2. 1582 × 8 = ______
  3. 1582 × 9 = ______
  4. 1582 × 10 = ______
  5. 1582 × 1 = ______
  6. 1582 × 2 = ______
  7. 1582 × 8 = ______
  8. 1582 × 5 = ______
  9. 1582 × 7 = ______
  10. 1582 × 8 = ______
  11. 1582 × 4 = ______
  12. 1582 × 6 = ______
Answer key
  1. 1,582
  2. 12,656
  3. 14,238
  4. 15,820
  5. 1,582
  6. 3,164
  7. 12,656
  8. 7,910
  9. 11,074
  10. 12,656
  11. 6,328
  12. 9,492

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 1582 pencils. How many pencils are in 8 boxes?
    Answer8 × 1582 = 12,656 pencils.
  2. Tickets cost $1582 each. How much do 7 tickets cost?
    Answer7 × $1582 = $11,074.
  3. 14,238 chairs are set out in rows of 1582. How many rows are there?
    Answer14,238 ÷ 1582 = 9 rows.
  4. A plant grows 1582 millimetres a week. How much does it grow in 8 weeks?
    Answer8 × 1582 = 12,656 millimetres.

About this page

The table, the patterns and the practice questions are all calculated for 1582 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 1582 × 12?

18,984.

What is half of 1582 × 8?

1582 × 8 = 12,656, and half of that is 6,328, which is 1582 × 4. Halving one factor halves the answer.

What is 1582 times 0?

0. Any number multiplied by zero is zero, because zero groups of 1582 contain nothing.

What is 1582 × 7 and 1582 × 8?

1582 × 7 = 11,074 and 1582 × 8 = 12,656. These two are the facts most people find hardest, so they are worth practising on their own.

Is 23,730 in the 1582 times table?

Yes: 23,730 ÷ 1582 = 15 with no remainder. 23,731 is not, because dividing it by 1582 leaves a remainder of 1.

How do I learn the 1582 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.