Sumwise

315 Times (315×) Multiplication Table

315 times table, 1 to 20

315 × 1315
315 × 2630
315 × 3945
315 × 41,260
315 × 51,575
315 × 61,890
315 × 72,205
315 × 82,520
315 × 92,835
315 × 103,150
315 × 113,465
315 × 123,780
315 × 134,095
315 × 144,410
315 × 154,725
315 × 165,040
315 × 175,355
315 × 185,670
315 × 195,985
315 × 206,300

Patterns that help you remember it

  • The last digits repeat in a cycle of 2: 5, 0.
  • The digits of every answer add up to a multiple of 9.
  • Every answer ends in 0 or 5.
  • Split it into tens and ones: 315 × k = 310 × k + 5 × k.
  • Each answer is 315 more than the one before, so you can count on in steps of 315.

Building it from tables you already know

To multiply 315 by 9, multiply by 10 and take one 315 away: 3,150 − 315 = 2,835. To multiply by 11, multiply by 10 and add one more 315: 3,150 + 315 = 3,465. Multiplying by 4 is doubling twice: 315 → 630 → 1,260.

Every multiple of 315 is at least 315, so there are none below 100 and 3 below 1,000. A number is in the 315 times table exactly when it divides by 315 with no remainder.

Odd, even and the last digit

Because 315 is odd, the answers alternate between odd and even: 315 × 1 = 315 is odd, 315 × 2 = 630 is even, and so on. Multiplying by 10 always puts a zero on the end: 315 × 10 = 3,150, and 315 × 100 = 31,500. Multiplying by 5 is half of multiplying by 10: half of 3,150 is 1,575.

Using the 315 times table to divide

Every fact also works backwards: because 315 × 7 = 2,205, you know 2,205 ÷ 315 = 7 and 2,205 ÷ 7 = 315. Practising the table and its division facts together halves the work.

315 times table practice worksheet

  1. 315 × 10 = ______
  2. 315 × 6 = ______
  3. 315 × 3 = ______
  4. 315 × 10 = ______
  5. 315 × 9 = ______
  6. 315 × 6 = ______
  7. 315 × 8 = ______
  8. 315 × 7 = ______
  9. 315 × 3 = ______
  10. 315 × 9 = ______
  11. 315 × 6 = ______
  12. 315 × 7 = ______
Answer key
  1. 3,150
  2. 1,890
  3. 945
  4. 3,150
  5. 2,835
  6. 1,890
  7. 2,520
  8. 2,205
  9. 945
  10. 2,835
  11. 1,890
  12. 2,205

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 315 pencils. How many pencils are in 6 boxes?
    Answer6 × 315 = 1,890 pencils.
  2. Tickets cost $315 each. How much do 11 tickets cost?
    Answer11 × $315 = $3,465.
  3. 1,890 chairs are set out in rows of 315. How many rows are there?
    Answer1,890 ÷ 315 = 6 rows.
  4. A plant grows 315 millimetres a week. How much does it grow in 12 weeks?
    Answer12 × 315 = 3,780 millimetres.

About this page

The table, the patterns and the practice questions are all calculated for 315 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 315 × 12?

3,780.

What is half of 315 × 8?

315 × 8 = 2,520, and half of that is 1,260, which is 315 × 4. Halving one factor halves the answer.

What is 315 times 0?

0. Any number multiplied by zero is zero, because zero groups of 315 contain nothing.

What is 315 × 7 and 315 × 8?

315 × 7 = 2,205 and 315 × 8 = 2,520. These two are the facts most people find hardest, so they are worth practising on their own.

Is 4,725 in the 315 times table?

Yes: 4,725 ÷ 315 = 15 with no remainder. 4,726 is not, because dividing it by 315 leaves a remainder of 1.

How do I learn the 315 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.