Sumwise

314 Times (314×) Multiplication Table

314 times table, 1 to 20

314 × 1314
314 × 2628
314 × 3942
314 × 41,256
314 × 51,570
314 × 61,884
314 × 72,198
314 × 82,512
314 × 92,826
314 × 103,140
314 × 113,454
314 × 123,768
314 × 134,082
314 × 144,396
314 × 154,710
314 × 165,024
314 × 175,338
314 × 185,652
314 × 195,966
314 × 206,280

Patterns that help you remember it

  • The last digits repeat in a cycle of 5: 4, 8, 2, 6, 0.
  • Every answer is even, because 314 is even.
  • Split it into tens and ones: 314 × k = 310 × k + 4 × k.
  • Each answer is 314 more than the one before, so you can count on in steps of 314.

Building it from tables you already know

Every answer in the 314 times table is double the answer in the 157 times table: 157 × 6 = 942, so 314 × 6 = 1,884. To multiply 314 by 9, multiply by 10 and take one 314 away: 3,140 − 314 = 2,826. To multiply by 11, multiply by 10 and add one more 314: 3,140 + 314 = 3,454. Multiplying by 4 is doubling twice: 314 → 628 → 1,256.

Every multiple of 314 is at least 314, so there are none below 100 and 3 below 1,000. A number is in the 314 times table exactly when it divides by 314 with no remainder.

Odd, even and the last digit

Because 314 is even, every answer in its table is even, which is a quick way to catch a wrong answer. Multiplying by 10 always puts a zero on the end: 314 × 10 = 3,140, and 314 × 100 = 31,400. Multiplying by 5 is half of multiplying by 10: half of 3,140 is 1,570.

Using the 314 times table to divide

Every fact also works backwards: because 314 × 7 = 2,198, you know 2,198 ÷ 314 = 7 and 2,198 ÷ 7 = 314. Practising the table and its division facts together halves the work.

314 times table practice worksheet

  1. 314 × 10 = ______
  2. 314 × 12 = ______
  3. 314 × 1 = ______
  4. 314 × 11 = ______
  5. 314 × 8 = ______
  6. 314 × 2 = ______
  7. 314 × 12 = ______
  8. 314 × 6 = ______
  9. 314 × 11 = ______
  10. 314 × 3 = ______
  11. 314 × 12 = ______
  12. 314 × 5 = ______
Answer key
  1. 3,140
  2. 3,768
  3. 314
  4. 3,454
  5. 2,512
  6. 628
  7. 3,768
  8. 1,884
  9. 3,454
  10. 942
  11. 3,768
  12. 1,570

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 314 pencils. How many pencils are in 7 boxes?
    Answer7 × 314 = 2,198 pencils.
  2. Tickets cost $314 each. How much do 10 tickets cost?
    Answer10 × $314 = $3,140.
  3. 2,198 chairs are set out in rows of 314. How many rows are there?
    Answer2,198 ÷ 314 = 7 rows.
  4. A plant grows 314 millimetres a week. How much does it grow in 11 weeks?
    Answer11 × 314 = 3,454 millimetres.

About this page

The table, the patterns and the practice questions are all calculated for 314 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 314 × 12?

3,768.

What is half of 314 × 8?

314 × 8 = 2,512, and half of that is 1,256, which is 314 × 4. Halving one factor halves the answer.

What is 314 times 0?

0. Any number multiplied by zero is zero, because zero groups of 314 contain nothing.

What is 314 × 7 and 314 × 8?

314 × 7 = 2,198 and 314 × 8 = 2,512. These two are the facts most people find hardest, so they are worth practising on their own.

Is 4,710 in the 314 times table?

Yes: 4,710 ÷ 314 = 15 with no remainder. 4,711 is not, because dividing it by 314 leaves a remainder of 1.

How do I learn the 314 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.