167 Times (167×) Multiplication Table
167 times table, 1 to 20
| 167 × 1 | 167 |
| 167 × 2 | 334 |
| 167 × 3 | 501 |
| 167 × 4 | 668 |
| 167 × 5 | 835 |
| 167 × 6 | 1,002 |
| 167 × 7 | 1,169 |
| 167 × 8 | 1,336 |
| 167 × 9 | 1,503 |
| 167 × 10 | 1,670 |
| 167 × 11 | 1,837 |
| 167 × 12 | 2,004 |
| 167 × 13 | 2,171 |
| 167 × 14 | 2,338 |
| 167 × 15 | 2,505 |
| 167 × 16 | 2,672 |
| 167 × 17 | 2,839 |
| 167 × 18 | 3,006 |
| 167 × 19 | 3,173 |
| 167 × 20 | 3,340 |
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: 167 × k = 160 × k + 7 × k.
- Each answer is 167 more than the one before, so you can count on in steps of 167.
Building it from tables you already know
To multiply 167 by 9, multiply by 10 and take one 167 away: 1,670 − 167 = 1,503. To multiply by 11, multiply by 10 and add one more 167: 1,670 + 167 = 1,837. Multiplying by 4 is doubling twice: 167 → 334 → 668.
Every multiple of 167 is at least 167, so there are none below 100 and 5 below 1,000. A number is in the 167 times table exactly when it divides by 167 with no remainder.
Odd, even and the last digit
Because 167 is odd, the answers alternate between odd and even: 167 × 1 = 167 is odd, 167 × 2 = 334 is even, and so on. Multiplying by 10 always puts a zero on the end: 167 × 10 = 1,670, and 167 × 100 = 16,700. Multiplying by 5 is half of multiplying by 10: half of 1,670 is 835.
Using the 167 times table to divide
Every fact also works backwards: because 167 × 7 = 1,169, you know 1,169 ÷ 167 = 7 and 1,169 ÷ 7 = 167. Practising the table and its division facts together halves the work.
167 times table practice worksheet
- 167 × 12 = ______
- 167 × 7 = ______
- 167 × 12 = ______
- 167 × 4 = ______
- 167 × 3 = ______
- 167 × 11 = ______
- 167 × 5 = ______
- 167 × 8 = ______
- 167 × 5 = ______
- 167 × 10 = ______
- 167 × 1 = ______
- 167 × 8 = ______
Answer key
- 2,004
- 1,169
- 2,004
- 668
- 501
- 1,837
- 835
- 1,336
- 835
- 1,670
- 167
- 1,336
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 167 pencils. How many pencils are in 5 boxes?
Answer
5 × 167 = 835 pencils. - Tickets cost $167 each. How much do 8 tickets cost?
Answer
8 × $167 = $1,336. - 835 chairs are set out in rows of 167. How many rows are there?
Answer
835 ÷ 167 = 5 rows. - A plant grows 167 millimetres a week. How much does it grow in 6 weeks?
Answer
6 × 167 = 1,002 millimetres.
Questions
What is 167 × 12?
2,004.
What is half of 167 × 8?
167 × 8 = 1,336, and half of that is 668, which is 167 × 4. Halving one factor halves the answer.
What is 167 times 0?
0. Any number multiplied by zero is zero, because zero groups of 167 contain nothing.
What is 167 × 7 and 167 × 8?
167 × 7 = 1,169 and 167 × 8 = 1,336. These two are the facts most people find hardest, so they are worth practising on their own.
Is 2,505 in the 167 times table?
Yes: 2,505 ÷ 167 = 15 with no remainder. 2,506 is not, because dividing it by 167 leaves a remainder of 1.
How do I learn the 167 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.