Sumwise

513 Times (513×) Multiplication Table

513 times table, 1 to 20

513 × 1513
513 × 21,026
513 × 31,539
513 × 42,052
513 × 52,565
513 × 63,078
513 × 73,591
513 × 84,104
513 × 94,617
513 × 105,130
513 × 115,643
513 × 126,156
513 × 136,669
513 × 147,182
513 × 157,695
513 × 168,208
513 × 178,721
513 × 189,234
513 × 199,747
513 × 2010,260

Patterns that help you remember it

  • The last digits repeat in a cycle of 10: 3, 6, 9, 2, 5, 8, 1, 4, 7, 0.
  • The digits of every answer add up to a multiple of 9.
  • Split it into tens and ones: 513 × k = 510 × k + 3 × k.
  • Each answer is 513 more than the one before, so you can count on in steps of 513.

Building it from tables you already know

To multiply 513 by 9, multiply by 10 and take one 513 away: 5,130 − 513 = 4,617. To multiply by 11, multiply by 10 and add one more 513: 5,130 + 513 = 5,643. Multiplying by 4 is doubling twice: 513 → 1,026 → 2,052.

Every multiple of 513 is at least 513, so there are none below 100 and 1 below 1,000. A number is in the 513 times table exactly when it divides by 513 with no remainder.

Odd, even and the last digit

Because 513 is odd, the answers alternate between odd and even: 513 × 1 = 513 is odd, 513 × 2 = 1,026 is even, and so on. Multiplying by 10 always puts a zero on the end: 513 × 10 = 5,130, and 513 × 100 = 51,300. Multiplying by 5 is half of multiplying by 10: half of 5,130 is 2,565.

Using the 513 times table to divide

Every fact also works backwards: because 513 × 7 = 3,591, you know 3,591 ÷ 513 = 7 and 3,591 ÷ 7 = 513. Practising the table and its division facts together halves the work.

513 times table practice worksheet

  1. 513 × 1 = ______
  2. 513 × 12 = ______
  3. 513 × 11 = ______
  4. 513 × 4 = ______
  5. 513 × 1 = ______
  6. 513 × 8 = ______
  7. 513 × 12 = ______
  8. 513 × 3 = ______
  9. 513 × 7 = ______
  10. 513 × 3 = ______
  11. 513 × 7 = ______
  12. 513 × 4 = ______
Answer key
  1. 513
  2. 6,156
  3. 5,643
  4. 2,052
  5. 513
  6. 4,104
  7. 6,156
  8. 1,539
  9. 3,591
  10. 1,539
  11. 3,591
  12. 2,052

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 513 pencils. How many pencils are in 4 boxes?
    Answer4 × 513 = 2,052 pencils.
  2. Tickets cost $513 each. How much do 6 tickets cost?
    Answer6 × $513 = $3,078.
  3. 1,026 chairs are set out in rows of 513. How many rows are there?
    Answer1,026 ÷ 513 = 2 rows.
  4. A plant grows 513 millimetres a week. How much does it grow in 12 weeks?
    Answer12 × 513 = 6,156 millimetres.

About this page

The table, the patterns and the practice questions are all calculated for 513 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 513 × 12?

6,156.

What is half of 513 × 8?

513 × 8 = 4,104, and half of that is 2,052, which is 513 × 4. Halving one factor halves the answer.

What is 513 times 0?

0. Any number multiplied by zero is zero, because zero groups of 513 contain nothing.

What is 513 × 7 and 513 × 8?

513 × 7 = 3,591 and 513 × 8 = 4,104. These two are the facts most people find hardest, so they are worth practising on their own.

Is 7,695 in the 513 times table?

Yes: 7,695 ÷ 513 = 15 with no remainder. 7,696 is not, because dividing it by 513 leaves a remainder of 1.

How do I learn the 513 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.