Sumwise

517 Times (517×) Multiplication Table

517 times table, 1 to 20

517 × 1517
517 × 21,034
517 × 31,551
517 × 42,068
517 × 52,585
517 × 63,102
517 × 73,619
517 × 84,136
517 × 94,653
517 × 105,170
517 × 115,687
517 × 126,204
517 × 136,721
517 × 147,238
517 × 157,755
517 × 168,272
517 × 178,789
517 × 189,306
517 × 199,823
517 × 2010,340

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: 517 × k = 510 × k + 7 × k.
  • Each answer is 517 more than the one before, so you can count on in steps of 517.

Building it from tables you already know

To multiply 517 by 9, multiply by 10 and take one 517 away: 5,170 − 517 = 4,653. To multiply by 11, multiply by 10 and add one more 517: 5,170 + 517 = 5,687. Multiplying by 4 is doubling twice: 517 → 1,034 → 2,068.

Every multiple of 517 is at least 517, so there are none below 100 and 1 below 1,000. A number is in the 517 times table exactly when it divides by 517 with no remainder.

Odd, even and the last digit

Because 517 is odd, the answers alternate between odd and even: 517 × 1 = 517 is odd, 517 × 2 = 1,034 is even, and so on. Multiplying by 10 always puts a zero on the end: 517 × 10 = 5,170, and 517 × 100 = 51,700. Multiplying by 5 is half of multiplying by 10: half of 5,170 is 2,585.

Using the 517 times table to divide

Every fact also works backwards: because 517 × 7 = 3,619, you know 3,619 ÷ 517 = 7 and 3,619 ÷ 7 = 517. Practising the table and its division facts together halves the work.

517 times table practice worksheet

  1. 517 × 2 = ______
  2. 517 × 11 = ______
  3. 517 × 1 = ______
  4. 517 × 7 = ______
  5. 517 × 3 = ______
  6. 517 × 10 = ______
  7. 517 × 2 = ______
  8. 517 × 10 = ______
  9. 517 × 11 = ______
  10. 517 × 10 = ______
  11. 517 × 11 = ______
  12. 517 × 5 = ______
Answer key
  1. 1,034
  2. 5,687
  3. 517
  4. 3,619
  5. 1,551
  6. 5,170
  7. 1,034
  8. 5,170
  9. 5,687
  10. 5,170
  11. 5,687
  12. 2,585

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 517 pencils. How many pencils are in 3 boxes?
    Answer3 × 517 = 1,551 pencils.
  2. Tickets cost $517 each. How much do 8 tickets cost?
    Answer8 × $517 = $4,136.
  3. 3,619 chairs are set out in rows of 517. How many rows are there?
    Answer3,619 ÷ 517 = 7 rows.
  4. A plant grows 517 millimetres a week. How much does it grow in 9 weeks?
    Answer9 × 517 = 4,653 millimetres.

About this page

The table, the patterns and the practice questions are all calculated for 517 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 517 × 12?

6,204.

What is half of 517 × 8?

517 × 8 = 4,136, and half of that is 2,068, which is 517 × 4. Halving one factor halves the answer.

What is 517 times 0?

0. Any number multiplied by zero is zero, because zero groups of 517 contain nothing.

What is 517 × 7 and 517 × 8?

517 × 7 = 3,619 and 517 × 8 = 4,136. These two are the facts most people find hardest, so they are worth practising on their own.

Is 7,755 in the 517 times table?

Yes: 7,755 ÷ 517 = 15 with no remainder. 7,756 is not, because dividing it by 517 leaves a remainder of 1.

How do I learn the 517 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.