Sumwise

407 Times (407×) Multiplication Table

407 times table, 1 to 20

407 × 1407
407 × 2814
407 × 31,221
407 × 41,628
407 × 52,035
407 × 62,442
407 × 72,849
407 × 83,256
407 × 93,663
407 × 104,070
407 × 114,477
407 × 124,884
407 × 135,291
407 × 145,698
407 × 156,105
407 × 166,512
407 × 176,919
407 × 187,326
407 × 197,733
407 × 208,140

Patterns that help you remember it

  • The last digits repeat in a cycle of 10: 7, 4, 1, 8, 5, 2, 9, 6, 3, 0.
  • Split it into tens and ones: 407 × k = 400 × k + 7 × k.
  • Each answer is 407 more than the one before, so you can count on in steps of 407.

Building it from tables you already know

To multiply 407 by 9, multiply by 10 and take one 407 away: 4,070 − 407 = 3,663. To multiply by 11, multiply by 10 and add one more 407: 4,070 + 407 = 4,477. Multiplying by 4 is doubling twice: 407 → 814 → 1,628.

Every multiple of 407 is at least 407, so there are none below 100 and 2 below 1,000. A number is in the 407 times table exactly when it divides by 407 with no remainder.

Odd, even and the last digit

Because 407 is odd, the answers alternate between odd and even: 407 × 1 = 407 is odd, 407 × 2 = 814 is even, and so on. Multiplying by 10 always puts a zero on the end: 407 × 10 = 4,070, and 407 × 100 = 40,700. Multiplying by 5 is half of multiplying by 10: half of 4,070 is 2,035.

Using the 407 times table to divide

Every fact also works backwards: because 407 × 7 = 2,849, you know 2,849 ÷ 407 = 7 and 2,849 ÷ 7 = 407. Practising the table and its division facts together halves the work.

407 times table practice worksheet

  1. 407 × 6 = ______
  2. 407 × 12 = ______
  3. 407 × 3 = ______
  4. 407 × 6 = ______
  5. 407 × 10 = ______
  6. 407 × 8 = ______
  7. 407 × 3 = ______
  8. 407 × 4 = ______
  9. 407 × 11 = ______
  10. 407 × 8 = ______
  11. 407 × 6 = ______
  12. 407 × 12 = ______
Answer key
  1. 2,442
  2. 4,884
  3. 1,221
  4. 2,442
  5. 4,070
  6. 3,256
  7. 1,221
  8. 1,628
  9. 4,477
  10. 3,256
  11. 2,442
  12. 4,884

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 407 pencils. How many pencils are in 5 boxes?
    Answer5 × 407 = 2,035 pencils.
  2. Tickets cost $407 each. How much do 9 tickets cost?
    Answer9 × $407 = $3,663.
  3. 2,849 chairs are set out in rows of 407. How many rows are there?
    Answer2,849 ÷ 407 = 7 rows.
  4. A plant grows 407 millimetres a week. How much does it grow in 9 weeks?
    Answer9 × 407 = 3,663 millimetres.

About this page

The table, the patterns and the practice questions are all calculated for 407 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 407 × 12?

4,884.

What is half of 407 × 8?

407 × 8 = 3,256, and half of that is 1,628, which is 407 × 4. Halving one factor halves the answer.

What is 407 times 0?

0. Any number multiplied by zero is zero, because zero groups of 407 contain nothing.

What is 407 × 7 and 407 × 8?

407 × 7 = 2,849 and 407 × 8 = 3,256. These two are the facts most people find hardest, so they are worth practising on their own.

Is 6,105 in the 407 times table?

Yes: 6,105 ÷ 407 = 15 with no remainder. 6,106 is not, because dividing it by 407 leaves a remainder of 1.

How do I learn the 407 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.