1667 Times (1667×) Multiplication Table
1667 times table, 1 to 20
| 1667 × 1 | 1,667 |
| 1667 × 2 | 3,334 |
| 1667 × 3 | 5,001 |
| 1667 × 4 | 6,668 |
| 1667 × 5 | 8,335 |
| 1667 × 6 | 10,002 |
| 1667 × 7 | 11,669 |
| 1667 × 8 | 13,336 |
| 1667 × 9 | 15,003 |
| 1667 × 10 | 16,670 |
| 1667 × 11 | 18,337 |
| 1667 × 12 | 20,004 |
| 1667 × 13 | 21,671 |
| 1667 × 14 | 23,338 |
| 1667 × 15 | 25,005 |
| 1667 × 16 | 26,672 |
| 1667 × 17 | 28,339 |
| 1667 × 18 | 30,006 |
| 1667 × 19 | 31,673 |
| 1667 × 20 | 33,340 |
Patterns that help you remember it
- The last digits repeat in a cycle of 10: 7, 4, 1, 8, 5, 2, 9, 6, 3, 0.
- Split it into tens and ones: 1667 × k = 1660 × k + 7 × k.
- Each answer is 1667 more than the one before, so you can count on in steps of 1667.
Building it from tables you already know
To multiply 1667 by 9, multiply by 10 and take one 1667 away: 16,670 − 1667 = 15,003. To multiply by 11, multiply by 10 and add one more 1667: 16,670 + 1667 = 18,337. Multiplying by 4 is doubling twice: 1667 → 3,334 → 6,668.
Every multiple of 1667 is at least 1667, so there are none below 100 and 0 below 1,000. A number is in the 1667 times table exactly when it divides by 1667 with no remainder.
Odd, even and the last digit
Because 1667 is odd, the answers alternate between odd and even: 1667 × 1 = 1667 is odd, 1667 × 2 = 3,334 is even, and so on. Multiplying by 10 always puts a zero on the end: 1667 × 10 = 16,670, and 1667 × 100 = 166,700. Multiplying by 5 is half of multiplying by 10: half of 16,670 is 8,335.
Using the 1667 times table to divide
Every fact also works backwards: because 1667 × 7 = 11,669, you know 11,669 ÷ 1667 = 7 and 11,669 ÷ 7 = 1667. Practising the table and its division facts together halves the work.
1667 times table practice worksheet
- 1667 × 7 = ______
- 1667 × 5 = ______
- 1667 × 1 = ______
- 1667 × 3 = ______
- 1667 × 12 = ______
- 1667 × 3 = ______
- 1667 × 6 = ______
- 1667 × 11 = ______
- 1667 × 12 = ______
- 1667 × 8 = ______
- 1667 × 7 = ______
- 1667 × 8 = ______
Answer key
- 11,669
- 8,335
- 1,667
- 5,001
- 20,004
- 5,001
- 10,002
- 18,337
- 20,004
- 13,336
- 11,669
- 13,336
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 1667 pencils. How many pencils are in 4 boxes?
Answer
4 × 1667 = 6,668 pencils. - Tickets cost $1667 each. How much do 8 tickets cost?
Answer
8 × $1667 = $13,336. - 3,334 chairs are set out in rows of 1667. How many rows are there?
Answer
3,334 ÷ 1667 = 2 rows. - A plant grows 1667 millimetres a week. How much does it grow in 10 weeks?
Answer
10 × 1667 = 16,670 millimetres.
Questions
What is 1667 × 12?
20,004.
What is half of 1667 × 8?
1667 × 8 = 13,336, and half of that is 6,668, which is 1667 × 4. Halving one factor halves the answer.
What is 1667 times 0?
0. Any number multiplied by zero is zero, because zero groups of 1667 contain nothing.
What is 1667 × 7 and 1667 × 8?
1667 × 7 = 11,669 and 1667 × 8 = 13,336. These two are the facts most people find hardest, so they are worth practising on their own.
Is 25,005 in the 1667 times table?
Yes: 25,005 ÷ 1667 = 15 with no remainder. 25,006 is not, because dividing it by 1667 leaves a remainder of 1.
How do I learn the 1667 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.