Sumwise

1909 Times (1909×) Multiplication Table

1909 times table, 1 to 20

1909 × 11,909
1909 × 23,818
1909 × 35,727
1909 × 47,636
1909 × 59,545
1909 × 611,454
1909 × 713,363
1909 × 815,272
1909 × 917,181
1909 × 1019,090
1909 × 1120,999
1909 × 1222,908
1909 × 1324,817
1909 × 1426,726
1909 × 1528,635
1909 × 1630,544
1909 × 1732,453
1909 × 1834,362
1909 × 1936,271
1909 × 2038,180

Patterns that help you remember it

  • The last digits repeat in a cycle of 10: 9, 8, 7, 6, 5, 4, 3, 2, 1, 0.
  • Split it into tens and ones: 1909 × k = 1900 × k + 9 × k.
  • Each answer is 1909 more than the one before, so you can count on in steps of 1909.

Building it from tables you already know

To multiply 1909 by 9, multiply by 10 and take one 1909 away: 19,090 − 1909 = 17,181. To multiply by 11, multiply by 10 and add one more 1909: 19,090 + 1909 = 20,999. Multiplying by 4 is doubling twice: 1909 → 3,818 → 7,636.

Every multiple of 1909 is at least 1909, so there are none below 100 and 0 below 1,000. A number is in the 1909 times table exactly when it divides by 1909 with no remainder.

Odd, even and the last digit

Because 1909 is odd, the answers alternate between odd and even: 1909 × 1 = 1909 is odd, 1909 × 2 = 3,818 is even, and so on. Multiplying by 10 always puts a zero on the end: 1909 × 10 = 19,090, and 1909 × 100 = 190,900. Multiplying by 5 is half of multiplying by 10: half of 19,090 is 9,545.

Using the 1909 times table to divide

Every fact also works backwards: because 1909 × 7 = 13,363, you know 13,363 ÷ 1909 = 7 and 13,363 ÷ 7 = 1909. Practising the table and its division facts together halves the work.

1909 times table practice worksheet

  1. 1909 × 2 = ______
  2. 1909 × 2 = ______
  3. 1909 × 3 = ______
  4. 1909 × 8 = ______
  5. 1909 × 5 = ______
  6. 1909 × 4 = ______
  7. 1909 × 8 = ______
  8. 1909 × 6 = ______
  9. 1909 × 10 = ______
  10. 1909 × 5 = ______
  11. 1909 × 1 = ______
  12. 1909 × 8 = ______
Answer key
  1. 3,818
  2. 3,818
  3. 5,727
  4. 15,272
  5. 9,545
  6. 7,636
  7. 15,272
  8. 11,454
  9. 19,090
  10. 9,545
  11. 1,909
  12. 15,272

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 1909 pencils. How many pencils are in 4 boxes?
    Answer4 × 1909 = 7,636 pencils.
  2. Tickets cost $1909 each. How much do 12 tickets cost?
    Answer12 × $1909 = $22,908.
  3. 9,545 chairs are set out in rows of 1909. How many rows are there?
    Answer9,545 ÷ 1909 = 5 rows.
  4. A plant grows 1909 millimetres a week. How much does it grow in 12 weeks?
    Answer12 × 1909 = 22,908 millimetres.

About this page

The table, the patterns and the practice questions are all calculated for 1909 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 1909 × 12?

22,908.

What is half of 1909 × 8?

1909 × 8 = 15,272, and half of that is 7,636, which is 1909 × 4. Halving one factor halves the answer.

What is 1909 times 0?

0. Any number multiplied by zero is zero, because zero groups of 1909 contain nothing.

What is 1909 × 7 and 1909 × 8?

1909 × 7 = 13,363 and 1909 × 8 = 15,272. These two are the facts most people find hardest, so they are worth practising on their own.

Is 28,635 in the 1909 times table?

Yes: 28,635 ÷ 1909 = 15 with no remainder. 28,636 is not, because dividing it by 1909 leaves a remainder of 1.

How do I learn the 1909 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.