Sumwise

312 Times (312×) Multiplication Table

312 times table, 1 to 20

312 × 1312
312 × 2624
312 × 3936
312 × 41,248
312 × 51,560
312 × 61,872
312 × 72,184
312 × 82,496
312 × 92,808
312 × 103,120
312 × 113,432
312 × 123,744
312 × 134,056
312 × 144,368
312 × 154,680
312 × 164,992
312 × 175,304
312 × 185,616
312 × 195,928
312 × 206,240

Patterns that help you remember it

  • The last digits repeat in a cycle of 5: 2, 4, 6, 8, 0.
  • Every answer is even, because 312 is even.
  • Split it into tens and ones: 312 × k = 310 × k + 2 × k.
  • Each answer is 312 more than the one before, so you can count on in steps of 312.

Building it from tables you already know

Every answer in the 312 times table is double the answer in the 156 times table: 156 × 6 = 936, so 312 × 6 = 1,872. To multiply 312 by 9, multiply by 10 and take one 312 away: 3,120 − 312 = 2,808. To multiply by 11, multiply by 10 and add one more 312: 3,120 + 312 = 3,432. Multiplying by 4 is doubling twice: 312 → 624 → 1,248.

Every multiple of 312 is at least 312, so there are none below 100 and 3 below 1,000. A number is in the 312 times table exactly when it divides by 312 with no remainder.

Odd, even and the last digit

Because 312 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: 312 × 10 = 3,120, and 312 × 100 = 31,200. Multiplying by 5 is half of multiplying by 10: half of 3,120 is 1,560.

Using the 312 times table to divide

Every fact also works backwards: because 312 × 7 = 2,184, you know 2,184 ÷ 312 = 7 and 2,184 ÷ 7 = 312. Practising the table and its division facts together halves the work.

312 times table practice worksheet

  1. 312 × 11 = ______
  2. 312 × 12 = ______
  3. 312 × 10 = ______
  4. 312 × 12 = ______
  5. 312 × 6 = ______
  6. 312 × 9 = ______
  7. 312 × 10 = ______
  8. 312 × 7 = ______
  9. 312 × 3 = ______
  10. 312 × 11 = ______
  11. 312 × 6 = ______
  12. 312 × 10 = ______
Answer key
  1. 3,432
  2. 3,744
  3. 3,120
  4. 3,744
  5. 1,872
  6. 2,808
  7. 3,120
  8. 2,184
  9. 936
  10. 3,432
  11. 1,872
  12. 3,120

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 312 pencils. How many pencils are in 5 boxes?
    Answer5 × 312 = 1,560 pencils.
  2. Tickets cost $312 each. How much do 7 tickets cost?
    Answer7 × $312 = $2,184.
  3. 1,872 chairs are set out in rows of 312. How many rows are there?
    Answer1,872 ÷ 312 = 6 rows.
  4. A plant grows 312 millimetres a week. How much does it grow in 7 weeks?
    Answer7 × 312 = 2,184 millimetres.

About this page

The table, the patterns and the practice questions are all calculated for 312 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 312 × 12?

3,744.

What is half of 312 × 8?

312 × 8 = 2,496, and half of that is 1,248, which is 312 × 4. Halving one factor halves the answer.

What is 312 times 0?

0. Any number multiplied by zero is zero, because zero groups of 312 contain nothing.

What is 312 × 7 and 312 × 8?

312 × 7 = 2,184 and 312 × 8 = 2,496. These two are the facts most people find hardest, so they are worth practising on their own.

Is 4,680 in the 312 times table?

Yes: 4,680 ÷ 312 = 15 with no remainder. 4,681 is not, because dividing it by 312 leaves a remainder of 1.

How do I learn the 312 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.