Sumwise

406 Times (406×) Multiplication Table

406 times table, 1 to 20

406 × 1406
406 × 2812
406 × 31,218
406 × 41,624
406 × 52,030
406 × 62,436
406 × 72,842
406 × 83,248
406 × 93,654
406 × 104,060
406 × 114,466
406 × 124,872
406 × 135,278
406 × 145,684
406 × 156,090
406 × 166,496
406 × 176,902
406 × 187,308
406 × 197,714
406 × 208,120

Patterns that help you remember it

  • The last digits repeat in a cycle of 5: 6, 2, 8, 4, 0.
  • Every answer is even, because 406 is even.
  • Split it into tens and ones: 406 × k = 400 × k + 6 × k.
  • Each answer is 406 more than the one before, so you can count on in steps of 406.

Building it from tables you already know

Every answer in the 406 times table is double the answer in the 203 times table: 203 × 6 = 1,218, so 406 × 6 = 2,436. To multiply 406 by 9, multiply by 10 and take one 406 away: 4,060 − 406 = 3,654. To multiply by 11, multiply by 10 and add one more 406: 4,060 + 406 = 4,466. Multiplying by 4 is doubling twice: 406 → 812 → 1,624.

Every multiple of 406 is at least 406, so there are none below 100 and 2 below 1,000. A number is in the 406 times table exactly when it divides by 406 with no remainder.

Odd, even and the last digit

Because 406 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: 406 × 10 = 4,060, and 406 × 100 = 40,600. Multiplying by 5 is half of multiplying by 10: half of 4,060 is 2,030.

Using the 406 times table to divide

Every fact also works backwards: because 406 × 7 = 2,842, you know 2,842 ÷ 406 = 7 and 2,842 ÷ 7 = 406. Practising the table and its division facts together halves the work.

406 times table practice worksheet

  1. 406 × 6 = ______
  2. 406 × 6 = ______
  3. 406 × 3 = ______
  4. 406 × 8 = ______
  5. 406 × 8 = ______
  6. 406 × 9 = ______
  7. 406 × 10 = ______
  8. 406 × 4 = ______
  9. 406 × 12 = ______
  10. 406 × 11 = ______
  11. 406 × 7 = ______
  12. 406 × 5 = ______
Answer key
  1. 2,436
  2. 2,436
  3. 1,218
  4. 3,248
  5. 3,248
  6. 3,654
  7. 4,060
  8. 1,624
  9. 4,872
  10. 4,466
  11. 2,842
  12. 2,030

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 406 pencils. How many pencils are in 4 boxes?
    Answer4 × 406 = 1,624 pencils.
  2. Tickets cost $406 each. How much do 8 tickets cost?
    Answer8 × $406 = $3,248.
  3. 3,654 chairs are set out in rows of 406. How many rows are there?
    Answer3,654 ÷ 406 = 9 rows.
  4. A plant grows 406 millimetres a week. How much does it grow in 9 weeks?
    Answer9 × 406 = 3,654 millimetres.

About this page

The table, the patterns and the practice questions are all calculated for 406 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 406 × 12?

4,872.

What is half of 406 × 8?

406 × 8 = 3,248, and half of that is 1,624, which is 406 × 4. Halving one factor halves the answer.

What is 406 times 0?

0. Any number multiplied by zero is zero, because zero groups of 406 contain nothing.

What is 406 × 7 and 406 × 8?

406 × 7 = 2,842 and 406 × 8 = 3,248. These two are the facts most people find hardest, so they are worth practising on their own.

Is 6,090 in the 406 times table?

Yes: 6,090 ÷ 406 = 15 with no remainder. 6,091 is not, because dividing it by 406 leaves a remainder of 1.

How do I learn the 406 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.