Sumwise

409 Times (409×) Multiplication Table

409 times table, 1 to 20

409 × 1409
409 × 2818
409 × 31,227
409 × 41,636
409 × 52,045
409 × 62,454
409 × 72,863
409 × 83,272
409 × 93,681
409 × 104,090
409 × 114,499
409 × 124,908
409 × 135,317
409 × 145,726
409 × 156,135
409 × 166,544
409 × 176,953
409 × 187,362
409 × 197,771
409 × 208,180

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: 409 × k = 400 × k + 9 × k.
  • Each answer is 409 more than the one before, so you can count on in steps of 409.

Building it from tables you already know

To multiply 409 by 9, multiply by 10 and take one 409 away: 4,090 − 409 = 3,681. To multiply by 11, multiply by 10 and add one more 409: 4,090 + 409 = 4,499. Multiplying by 4 is doubling twice: 409 → 818 → 1,636.

Every multiple of 409 is at least 409, so there are none below 100 and 2 below 1,000. A number is in the 409 times table exactly when it divides by 409 with no remainder.

Odd, even and the last digit

Because 409 is odd, the answers alternate between odd and even: 409 × 1 = 409 is odd, 409 × 2 = 818 is even, and so on. Multiplying by 10 always puts a zero on the end: 409 × 10 = 4,090, and 409 × 100 = 40,900. Multiplying by 5 is half of multiplying by 10: half of 4,090 is 2,045.

Using the 409 times table to divide

Every fact also works backwards: because 409 × 7 = 2,863, you know 2,863 ÷ 409 = 7 and 2,863 ÷ 7 = 409. Practising the table and its division facts together halves the work.

409 times table practice worksheet

  1. 409 × 6 = ______
  2. 409 × 8 = ______
  3. 409 × 11 = ______
  4. 409 × 1 = ______
  5. 409 × 4 = ______
  6. 409 × 5 = ______
  7. 409 × 10 = ______
  8. 409 × 10 = ______
  9. 409 × 7 = ______
  10. 409 × 4 = ______
  11. 409 × 10 = ______
  12. 409 × 11 = ______
Answer key
  1. 2,454
  2. 3,272
  3. 4,499
  4. 409
  5. 1,636
  6. 2,045
  7. 4,090
  8. 4,090
  9. 2,863
  10. 1,636
  11. 4,090
  12. 4,499

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 409 pencils. How many pencils are in 5 boxes?
    Answer5 × 409 = 2,045 pencils.
  2. Tickets cost $409 each. How much do 9 tickets cost?
    Answer9 × $409 = $3,681.
  3. 2,863 chairs are set out in rows of 409. How many rows are there?
    Answer2,863 ÷ 409 = 7 rows.
  4. A plant grows 409 millimetres a week. How much does it grow in 11 weeks?
    Answer11 × 409 = 4,499 millimetres.

About this page

The table, the patterns and the practice questions are all calculated for 409 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 409 × 12?

4,908.

What is half of 409 × 8?

409 × 8 = 3,272, and half of that is 1,636, which is 409 × 4. Halving one factor halves the answer.

What is 409 times 0?

0. Any number multiplied by zero is zero, because zero groups of 409 contain nothing.

What is 409 × 7 and 409 × 8?

409 × 7 = 2,863 and 409 × 8 = 3,272. These two are the facts most people find hardest, so they are worth practising on their own.

Is 6,135 in the 409 times table?

Yes: 6,135 ÷ 409 = 15 with no remainder. 6,136 is not, because dividing it by 409 leaves a remainder of 1.

How do I learn the 409 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.