Sumwise

509 Times (509×) Multiplication Table

509 times table, 1 to 20

509 × 1509
509 × 21,018
509 × 31,527
509 × 42,036
509 × 52,545
509 × 63,054
509 × 73,563
509 × 84,072
509 × 94,581
509 × 105,090
509 × 115,599
509 × 126,108
509 × 136,617
509 × 147,126
509 × 157,635
509 × 168,144
509 × 178,653
509 × 189,162
509 × 199,671
509 × 2010,180

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: 509 × k = 500 × k + 9 × k.
  • Each answer is 509 more than the one before, so you can count on in steps of 509.

Building it from tables you already know

To multiply 509 by 9, multiply by 10 and take one 509 away: 5,090 − 509 = 4,581. To multiply by 11, multiply by 10 and add one more 509: 5,090 + 509 = 5,599. Multiplying by 4 is doubling twice: 509 → 1,018 → 2,036.

Every multiple of 509 is at least 509, so there are none below 100 and 1 below 1,000. A number is in the 509 times table exactly when it divides by 509 with no remainder.

Odd, even and the last digit

Because 509 is odd, the answers alternate between odd and even: 509 × 1 = 509 is odd, 509 × 2 = 1,018 is even, and so on. Multiplying by 10 always puts a zero on the end: 509 × 10 = 5,090, and 509 × 100 = 50,900. Multiplying by 5 is half of multiplying by 10: half of 5,090 is 2,545.

Using the 509 times table to divide

Every fact also works backwards: because 509 × 7 = 3,563, you know 3,563 ÷ 509 = 7 and 3,563 ÷ 7 = 509. Practising the table and its division facts together halves the work.

509 times table practice worksheet

  1. 509 × 2 = ______
  2. 509 × 10 = ______
  3. 509 × 10 = ______
  4. 509 × 7 = ______
  5. 509 × 7 = ______
  6. 509 × 4 = ______
  7. 509 × 8 = ______
  8. 509 × 11 = ______
  9. 509 × 4 = ______
  10. 509 × 12 = ______
  11. 509 × 1 = ______
  12. 509 × 11 = ______
Answer key
  1. 1,018
  2. 5,090
  3. 5,090
  4. 3,563
  5. 3,563
  6. 2,036
  7. 4,072
  8. 5,599
  9. 2,036
  10. 6,108
  11. 509
  12. 5,599

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 509 pencils. How many pencils are in 4 boxes?
    Answer4 × 509 = 2,036 pencils.
  2. Tickets cost $509 each. How much do 12 tickets cost?
    Answer12 × $509 = $6,108.
  3. 4,581 chairs are set out in rows of 509. How many rows are there?
    Answer4,581 ÷ 509 = 9 rows.
  4. A plant grows 509 millimetres a week. How much does it grow in 9 weeks?
    Answer9 × 509 = 4,581 millimetres.

About this page

The table, the patterns and the practice questions are all calculated for 509 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 509 × 12?

6,108.

What is half of 509 × 8?

509 × 8 = 4,072, and half of that is 2,036, which is 509 × 4. Halving one factor halves the answer.

What is 509 times 0?

0. Any number multiplied by zero is zero, because zero groups of 509 contain nothing.

What is 509 × 7 and 509 × 8?

509 × 7 = 3,563 and 509 × 8 = 4,072. These two are the facts most people find hardest, so they are worth practising on their own.

Is 7,635 in the 509 times table?

Yes: 7,635 ÷ 509 = 15 with no remainder. 7,636 is not, because dividing it by 509 leaves a remainder of 1.

How do I learn the 509 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.