514 Times (514×) Multiplication Table
514 times table, 1 to 20
| 514 × 1 | 514 |
| 514 × 2 | 1,028 |
| 514 × 3 | 1,542 |
| 514 × 4 | 2,056 |
| 514 × 5 | 2,570 |
| 514 × 6 | 3,084 |
| 514 × 7 | 3,598 |
| 514 × 8 | 4,112 |
| 514 × 9 | 4,626 |
| 514 × 10 | 5,140 |
| 514 × 11 | 5,654 |
| 514 × 12 | 6,168 |
| 514 × 13 | 6,682 |
| 514 × 14 | 7,196 |
| 514 × 15 | 7,710 |
| 514 × 16 | 8,224 |
| 514 × 17 | 8,738 |
| 514 × 18 | 9,252 |
| 514 × 19 | 9,766 |
| 514 × 20 | 10,280 |
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 514 is even.
- Split it into tens and ones: 514 × k = 510 × k + 4 × k.
- Each answer is 514 more than the one before, so you can count on in steps of 514.
Building it from tables you already know
Every answer in the 514 times table is double the answer in the 257 times table: 257 × 6 = 1,542, so 514 × 6 = 3,084. To multiply 514 by 9, multiply by 10 and take one 514 away: 5,140 − 514 = 4,626. To multiply by 11, multiply by 10 and add one more 514: 5,140 + 514 = 5,654. Multiplying by 4 is doubling twice: 514 → 1,028 → 2,056.
Every multiple of 514 is at least 514, so there are none below 100 and 1 below 1,000. A number is in the 514 times table exactly when it divides by 514 with no remainder.
Odd, even and the last digit
Because 514 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: 514 × 10 = 5,140, and 514 × 100 = 51,400. Multiplying by 5 is half of multiplying by 10: half of 5,140 is 2,570.
Using the 514 times table to divide
Every fact also works backwards: because 514 × 7 = 3,598, you know 3,598 ÷ 514 = 7 and 3,598 ÷ 7 = 514. Practising the table and its division facts together halves the work.
514 times table practice worksheet
- 514 × 1 = ______
- 514 × 6 = ______
- 514 × 8 = ______
- 514 × 6 = ______
- 514 × 3 = ______
- 514 × 6 = ______
- 514 × 9 = ______
- 514 × 9 = ______
- 514 × 8 = ______
- 514 × 6 = ______
- 514 × 12 = ______
- 514 × 7 = ______
Answer key
- 514
- 3,084
- 4,112
- 3,084
- 1,542
- 3,084
- 4,626
- 4,626
- 4,112
- 3,084
- 6,168
- 3,598
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 514 pencils. How many pencils are in 4 boxes?
Answer
4 × 514 = 2,056 pencils. - Tickets cost $514 each. How much do 5 tickets cost?
Answer
5 × $514 = $2,570. - 2,570 chairs are set out in rows of 514. How many rows are there?
Answer
2,570 ÷ 514 = 5 rows. - A plant grows 514 millimetres a week. How much does it grow in 6 weeks?
Answer
6 × 514 = 3,084 millimetres.
Questions
What is 514 × 12?
6,168.
What is half of 514 × 8?
514 × 8 = 4,112, and half of that is 2,056, which is 514 × 4. Halving one factor halves the answer.
What is 514 times 0?
0. Any number multiplied by zero is zero, because zero groups of 514 contain nothing.
What is 514 × 7 and 514 × 8?
514 × 7 = 3,598 and 514 × 8 = 4,112. These two are the facts most people find hardest, so they are worth practising on their own.
Is 7,710 in the 514 times table?
Yes: 7,710 ÷ 514 = 15 with no remainder. 7,711 is not, because dividing it by 514 leaves a remainder of 1.
How do I learn the 514 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.