1678 Times (1678×) Multiplication Table
1678 times table, 1 to 20
| 1678 × 1 | 1,678 |
| 1678 × 2 | 3,356 |
| 1678 × 3 | 5,034 |
| 1678 × 4 | 6,712 |
| 1678 × 5 | 8,390 |
| 1678 × 6 | 10,068 |
| 1678 × 7 | 11,746 |
| 1678 × 8 | 13,424 |
| 1678 × 9 | 15,102 |
| 1678 × 10 | 16,780 |
| 1678 × 11 | 18,458 |
| 1678 × 12 | 20,136 |
| 1678 × 13 | 21,814 |
| 1678 × 14 | 23,492 |
| 1678 × 15 | 25,170 |
| 1678 × 16 | 26,848 |
| 1678 × 17 | 28,526 |
| 1678 × 18 | 30,204 |
| 1678 × 19 | 31,882 |
| 1678 × 20 | 33,560 |
Patterns that help you remember it
- The last digits repeat in a cycle of 5: 8, 6, 4, 2, 0.
- Every answer is even, because 1678 is even.
- Split it into tens and ones: 1678 × k = 1670 × k + 8 × k.
- Each answer is 1678 more than the one before, so you can count on in steps of 1678.
Building it from tables you already know
Every answer in the 1678 times table is double the answer in the 839 times table: 839 × 6 = 5,034, so 1678 × 6 = 10,068. To multiply 1678 by 9, multiply by 10 and take one 1678 away: 16,780 − 1678 = 15,102. To multiply by 11, multiply by 10 and add one more 1678: 16,780 + 1678 = 18,458. Multiplying by 4 is doubling twice: 1678 → 3,356 → 6,712.
Every multiple of 1678 is at least 1678, so there are none below 100 and 0 below 1,000. A number is in the 1678 times table exactly when it divides by 1678 with no remainder.
Odd, even and the last digit
Because 1678 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: 1678 × 10 = 16,780, and 1678 × 100 = 167,800. Multiplying by 5 is half of multiplying by 10: half of 16,780 is 8,390.
Using the 1678 times table to divide
Every fact also works backwards: because 1678 × 7 = 11,746, you know 11,746 ÷ 1678 = 7 and 11,746 ÷ 7 = 1678. Practising the table and its division facts together halves the work.
1678 times table practice worksheet
- 1678 × 8 = ______
- 1678 × 4 = ______
- 1678 × 5 = ______
- 1678 × 5 = ______
- 1678 × 7 = ______
- 1678 × 12 = ______
- 1678 × 8 = ______
- 1678 × 2 = ______
- 1678 × 8 = ______
- 1678 × 7 = ______
- 1678 × 5 = ______
- 1678 × 1 = ______
Answer key
- 13,424
- 6,712
- 8,390
- 8,390
- 11,746
- 20,136
- 13,424
- 3,356
- 13,424
- 11,746
- 8,390
- 1,678
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 1678 pencils. How many pencils are in 3 boxes?
Answer
3 × 1678 = 5,034 pencils. - Tickets cost $1678 each. How much do 8 tickets cost?
Answer
8 × $1678 = $13,424. - 13,424 chairs are set out in rows of 1678. How many rows are there?
Answer
13,424 ÷ 1678 = 8 rows. - A plant grows 1678 millimetres a week. How much does it grow in 6 weeks?
Answer
6 × 1678 = 10,068 millimetres.
Questions
What is 1678 × 12?
20,136.
What is half of 1678 × 8?
1678 × 8 = 13,424, and half of that is 6,712, which is 1678 × 4. Halving one factor halves the answer.
What is 1678 times 0?
0. Any number multiplied by zero is zero, because zero groups of 1678 contain nothing.
What is 1678 × 7 and 1678 × 8?
1678 × 7 = 11,746 and 1678 × 8 = 13,424. These two are the facts most people find hardest, so they are worth practising on their own.
Is 25,170 in the 1678 times table?
Yes: 25,170 ÷ 1678 = 15 with no remainder. 25,171 is not, because dividing it by 1678 leaves a remainder of 1.
How do I learn the 1678 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.