Sumwise

360 Times (360×) Multiplication Table

360 times table, 1 to 20

360 × 1360
360 × 2720
360 × 31,080
360 × 41,440
360 × 51,800
360 × 62,160
360 × 72,520
360 × 82,880
360 × 93,240
360 × 103,600
360 × 113,960
360 × 124,320
360 × 134,680
360 × 145,040
360 × 155,400
360 × 165,760
360 × 176,120
360 × 186,480
360 × 196,840
360 × 207,200

Patterns that help you remember it

  • The last digits repeat in a cycle of 1: 0.
  • Every answer is even, because 360 is even.
  • 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: 360 × k = 360 × k + 0 × k.
  • Each answer is 360 more than the one before, so you can count on in steps of 360.

Building it from tables you already know

Every answer in the 360 times table is double the answer in the 180 times table: 180 × 6 = 1,080, so 360 × 6 = 2,160. To multiply 360 by 9, multiply by 10 and take one 360 away: 3,600 − 360 = 3,240. To multiply by 11, multiply by 10 and add one more 360: 3,600 + 360 = 3,960. Multiplying by 4 is doubling twice: 360 → 720 → 1,440.

Every multiple of 360 is at least 360, so there are none below 100 and 2 below 1,000. A number is in the 360 times table exactly when it divides by 360 with no remainder.

Odd, even and the last digit

Because 360 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: 360 × 10 = 3,600, and 360 × 100 = 36,000. Multiplying by 5 is half of multiplying by 10: half of 3,600 is 1,800.

Using the 360 times table to divide

Every fact also works backwards: because 360 × 7 = 2,520, you know 2,520 ÷ 360 = 7 and 2,520 ÷ 7 = 360. Practising the table and its division facts together halves the work.

360 times table practice worksheet

  1. 360 × 3 = ______
  2. 360 × 4 = ______
  3. 360 × 11 = ______
  4. 360 × 9 = ______
  5. 360 × 7 = ______
  6. 360 × 7 = ______
  7. 360 × 12 = ______
  8. 360 × 1 = ______
  9. 360 × 2 = ______
  10. 360 × 11 = ______
  11. 360 × 2 = ______
  12. 360 × 1 = ______
Answer key
  1. 1,080
  2. 1,440
  3. 3,960
  4. 3,240
  5. 2,520
  6. 2,520
  7. 4,320
  8. 360
  9. 720
  10. 3,960
  11. 720
  12. 360

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 360 pencils. How many pencils are in 9 boxes?
    Answer9 × 360 = 3,240 pencils.
  2. Tickets cost $360 each. How much do 5 tickets cost?
    Answer5 × $360 = $1,800.
  3. 2,160 chairs are set out in rows of 360. How many rows are there?
    Answer2,160 ÷ 360 = 6 rows.
  4. A plant grows 360 millimetres a week. How much does it grow in 10 weeks?
    Answer10 × 360 = 3,600 millimetres.

About this page

The table, the patterns and the practice questions are all calculated for 360 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 360 × 12?

4,320.

What is half of 360 × 8?

360 × 8 = 2,880, and half of that is 1,440, which is 360 × 4. Halving one factor halves the answer.

What is 360 times 0?

0. Any number multiplied by zero is zero, because zero groups of 360 contain nothing.

What is 360 × 7 and 360 × 8?

360 × 7 = 2,520 and 360 × 8 = 2,880. These two are the facts most people find hardest, so they are worth practising on their own.

Is 5,400 in the 360 times table?

Yes: 5,400 ÷ 360 = 15 with no remainder. 5,401 is not, because dividing it by 360 leaves a remainder of 1.

How do I learn the 360 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.