414 Times (414×) Multiplication Table
414 times table, 1 to 20
| 414 × 1 | 414 |
| 414 × 2 | 828 |
| 414 × 3 | 1,242 |
| 414 × 4 | 1,656 |
| 414 × 5 | 2,070 |
| 414 × 6 | 2,484 |
| 414 × 7 | 2,898 |
| 414 × 8 | 3,312 |
| 414 × 9 | 3,726 |
| 414 × 10 | 4,140 |
| 414 × 11 | 4,554 |
| 414 × 12 | 4,968 |
| 414 × 13 | 5,382 |
| 414 × 14 | 5,796 |
| 414 × 15 | 6,210 |
| 414 × 16 | 6,624 |
| 414 × 17 | 7,038 |
| 414 × 18 | 7,452 |
| 414 × 19 | 7,866 |
| 414 × 20 | 8,280 |
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 414 is even.
- The digits of every answer add up to a multiple of 9.
- Split it into tens and ones: 414 × k = 410 × k + 4 × k.
- Each answer is 414 more than the one before, so you can count on in steps of 414.
Building it from tables you already know
Every answer in the 414 times table is double the answer in the 207 times table: 207 × 6 = 1,242, so 414 × 6 = 2,484. To multiply 414 by 9, multiply by 10 and take one 414 away: 4,140 − 414 = 3,726. To multiply by 11, multiply by 10 and add one more 414: 4,140 + 414 = 4,554. Multiplying by 4 is doubling twice: 414 → 828 → 1,656.
Every multiple of 414 is at least 414, so there are none below 100 and 2 below 1,000. A number is in the 414 times table exactly when it divides by 414 with no remainder.
Odd, even and the last digit
Because 414 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: 414 × 10 = 4,140, and 414 × 100 = 41,400. Multiplying by 5 is half of multiplying by 10: half of 4,140 is 2,070.
Using the 414 times table to divide
Every fact also works backwards: because 414 × 7 = 2,898, you know 2,898 ÷ 414 = 7 and 2,898 ÷ 7 = 414. Practising the table and its division facts together halves the work.
414 times table practice worksheet
- 414 × 5 = ______
- 414 × 3 = ______
- 414 × 11 = ______
- 414 × 9 = ______
- 414 × 10 = ______
- 414 × 3 = ______
- 414 × 6 = ______
- 414 × 1 = ______
- 414 × 4 = ______
- 414 × 1 = ______
- 414 × 2 = ______
- 414 × 11 = ______
Answer key
- 2,070
- 1,242
- 4,554
- 3,726
- 4,140
- 1,242
- 2,484
- 414
- 1,656
- 414
- 828
- 4,554
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 414 pencils. How many pencils are in 5 boxes?
Answer
5 × 414 = 2,070 pencils. - Tickets cost $414 each. How much do 12 tickets cost?
Answer
12 × $414 = $4,968. - 1,242 chairs are set out in rows of 414. How many rows are there?
Answer
1,242 ÷ 414 = 3 rows. - A plant grows 414 millimetres a week. How much does it grow in 7 weeks?
Answer
7 × 414 = 2,898 millimetres.
Questions
What is 414 × 12?
4,968.
What is half of 414 × 8?
414 × 8 = 3,312, and half of that is 1,656, which is 414 × 4. Halving one factor halves the answer.
What is 414 times 0?
0. Any number multiplied by zero is zero, because zero groups of 414 contain nothing.
What is 414 × 7 and 414 × 8?
414 × 7 = 2,898 and 414 × 8 = 3,312. These two are the facts most people find hardest, so they are worth practising on their own.
Is 6,210 in the 414 times table?
Yes: 6,210 ÷ 414 = 15 with no remainder. 6,211 is not, because dividing it by 414 leaves a remainder of 1.
How do I learn the 414 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.