Sumwise

313 Times (313×) Multiplication Table

313 times table, 1 to 20

313 × 1313
313 × 2626
313 × 3939
313 × 41,252
313 × 51,565
313 × 61,878
313 × 72,191
313 × 82,504
313 × 92,817
313 × 103,130
313 × 113,443
313 × 123,756
313 × 134,069
313 × 144,382
313 × 154,695
313 × 165,008
313 × 175,321
313 × 185,634
313 × 195,947
313 × 206,260

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.
  • Split it into tens and ones: 313 × k = 310 × k + 3 × k.
  • Each answer is 313 more than the one before, so you can count on in steps of 313.

Building it from tables you already know

To multiply 313 by 9, multiply by 10 and take one 313 away: 3,130 − 313 = 2,817. To multiply by 11, multiply by 10 and add one more 313: 3,130 + 313 = 3,443. Multiplying by 4 is doubling twice: 313 → 626 → 1,252.

Every multiple of 313 is at least 313, so there are none below 100 and 3 below 1,000. A number is in the 313 times table exactly when it divides by 313 with no remainder.

Odd, even and the last digit

Because 313 is odd, the answers alternate between odd and even: 313 × 1 = 313 is odd, 313 × 2 = 626 is even, and so on. Multiplying by 10 always puts a zero on the end: 313 × 10 = 3,130, and 313 × 100 = 31,300. Multiplying by 5 is half of multiplying by 10: half of 3,130 is 1,565.

Using the 313 times table to divide

Every fact also works backwards: because 313 × 7 = 2,191, you know 2,191 ÷ 313 = 7 and 2,191 ÷ 7 = 313. Practising the table and its division facts together halves the work.

313 times table practice worksheet

  1. 313 × 10 = ______
  2. 313 × 6 = ______
  3. 313 × 8 = ______
  4. 313 × 7 = ______
  5. 313 × 1 = ______
  6. 313 × 3 = ______
  7. 313 × 11 = ______
  8. 313 × 9 = ______
  9. 313 × 12 = ______
  10. 313 × 10 = ______
  11. 313 × 9 = ______
  12. 313 × 5 = ______
Answer key
  1. 3,130
  2. 1,878
  3. 2,504
  4. 2,191
  5. 313
  6. 939
  7. 3,443
  8. 2,817
  9. 3,756
  10. 3,130
  11. 2,817
  12. 1,565

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 313 pencils. How many pencils are in 7 boxes?
    Answer7 × 313 = 2,191 pencils.
  2. Tickets cost $313 each. How much do 10 tickets cost?
    Answer10 × $313 = $3,130.
  3. 626 chairs are set out in rows of 313. How many rows are there?
    Answer626 ÷ 313 = 2 rows.
  4. A plant grows 313 millimetres a week. How much does it grow in 8 weeks?
    Answer8 × 313 = 2,504 millimetres.

About this page

The table, the patterns and the practice questions are all calculated for 313 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 313 × 12?

3,756.

What is half of 313 × 8?

313 × 8 = 2,504, and half of that is 1,252, which is 313 × 4. Halving one factor halves the answer.

What is 313 times 0?

0. Any number multiplied by zero is zero, because zero groups of 313 contain nothing.

What is 313 × 7 and 313 × 8?

313 × 7 = 2,191 and 313 × 8 = 2,504. These two are the facts most people find hardest, so they are worth practising on their own.

Is 4,695 in the 313 times table?

Yes: 4,695 ÷ 313 = 15 with no remainder. 4,696 is not, because dividing it by 313 leaves a remainder of 1.

How do I learn the 313 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.