306 Times (306×) Multiplication Table
306 times table, 1 to 20
| 306 × 1 | 306 |
| 306 × 2 | 612 |
| 306 × 3 | 918 |
| 306 × 4 | 1,224 |
| 306 × 5 | 1,530 |
| 306 × 6 | 1,836 |
| 306 × 7 | 2,142 |
| 306 × 8 | 2,448 |
| 306 × 9 | 2,754 |
| 306 × 10 | 3,060 |
| 306 × 11 | 3,366 |
| 306 × 12 | 3,672 |
| 306 × 13 | 3,978 |
| 306 × 14 | 4,284 |
| 306 × 15 | 4,590 |
| 306 × 16 | 4,896 |
| 306 × 17 | 5,202 |
| 306 × 18 | 5,508 |
| 306 × 19 | 5,814 |
| 306 × 20 | 6,120 |
Patterns that help you remember it
- The last digits repeat in a cycle of 5: 6, 2, 8, 4, 0.
- Every answer is even, because 306 is even.
- The digits of every answer add up to a multiple of 9.
- Split it into tens and ones: 306 × k = 300 × k + 6 × k.
- Each answer is 306 more than the one before, so you can count on in steps of 306.
Building it from tables you already know
Every answer in the 306 times table is double the answer in the 153 times table: 153 × 6 = 918, so 306 × 6 = 1,836. To multiply 306 by 9, multiply by 10 and take one 306 away: 3,060 − 306 = 2,754. To multiply by 11, multiply by 10 and add one more 306: 3,060 + 306 = 3,366. Multiplying by 4 is doubling twice: 306 → 612 → 1,224.
Every multiple of 306 is at least 306, so there are none below 100 and 3 below 1,000. A number is in the 306 times table exactly when it divides by 306 with no remainder.
Odd, even and the last digit
Because 306 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: 306 × 10 = 3,060, and 306 × 100 = 30,600. Multiplying by 5 is half of multiplying by 10: half of 3,060 is 1,530.
Using the 306 times table to divide
Every fact also works backwards: because 306 × 7 = 2,142, you know 2,142 ÷ 306 = 7 and 2,142 ÷ 7 = 306. Practising the table and its division facts together halves the work.
306 times table practice worksheet
- 306 × 11 = ______
- 306 × 7 = ______
- 306 × 1 = ______
- 306 × 10 = ______
- 306 × 7 = ______
- 306 × 12 = ______
- 306 × 9 = ______
- 306 × 8 = ______
- 306 × 6 = ______
- 306 × 7 = ______
- 306 × 3 = ______
- 306 × 12 = ______
Answer key
- 3,366
- 2,142
- 306
- 3,060
- 2,142
- 3,672
- 2,754
- 2,448
- 1,836
- 2,142
- 918
- 3,672
Word problems
Times tables are most useful when you can spot them in a question. Try these, then open each one to check:
- A box holds 306 pencils. How many pencils are in 5 boxes?
Answer
5 × 306 = 1,530 pencils. - Tickets cost $306 each. How much do 10 tickets cost?
Answer
10 × $306 = $3,060. - 1,530 chairs are set out in rows of 306. How many rows are there?
Answer
1,530 ÷ 306 = 5 rows. - A plant grows 306 millimetres a week. How much does it grow in 10 weeks?
Answer
10 × 306 = 3,060 millimetres.
Questions
What is 306 × 12?
3,672.
What is half of 306 × 8?
306 × 8 = 2,448, and half of that is 1,224, which is 306 × 4. Halving one factor halves the answer.
What is 306 times 0?
0. Any number multiplied by zero is zero, because zero groups of 306 contain nothing.
What is 306 × 7 and 306 × 8?
306 × 7 = 2,142 and 306 × 8 = 2,448. These two are the facts most people find hardest, so they are worth practising on their own.
Is 4,590 in the 306 times table?
Yes: 4,590 ÷ 306 = 15 with no remainder. 4,591 is not, because dividing it by 306 leaves a remainder of 1.
How do I learn the 306 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.