161 Times (161×) Multiplication Table
161 times table, 1 to 20
| 161 × 1 | 161 |
| 161 × 2 | 322 |
| 161 × 3 | 483 |
| 161 × 4 | 644 |
| 161 × 5 | 805 |
| 161 × 6 | 966 |
| 161 × 7 | 1,127 |
| 161 × 8 | 1,288 |
| 161 × 9 | 1,449 |
| 161 × 10 | 1,610 |
| 161 × 11 | 1,771 |
| 161 × 12 | 1,932 |
| 161 × 13 | 2,093 |
| 161 × 14 | 2,254 |
| 161 × 15 | 2,415 |
| 161 × 16 | 2,576 |
| 161 × 17 | 2,737 |
| 161 × 18 | 2,898 |
| 161 × 19 | 3,059 |
| 161 × 20 | 3,220 |
Patterns that help you remember it
- The last digits repeat in a cycle of 10: 1, 2, 3, 4, 5, 6, 7, 8, 9, 0.
- Split it into tens and ones: 161 × k = 160 × k + 1 × k.
- Each answer is 161 more than the one before, so you can count on in steps of 161.
Building it from tables you already know
To multiply 161 by 9, multiply by 10 and take one 161 away: 1,610 − 161 = 1,449. To multiply by 11, multiply by 10 and add one more 161: 1,610 + 161 = 1,771. Multiplying by 4 is doubling twice: 161 → 322 → 644.
Every multiple of 161 is at least 161, so there are none below 100 and 6 below 1,000. A number is in the 161 times table exactly when it divides by 161 with no remainder.
Odd, even and the last digit
Because 161 is odd, the answers alternate between odd and even: 161 × 1 = 161 is odd, 161 × 2 = 322 is even, and so on. Multiplying by 10 always puts a zero on the end: 161 × 10 = 1,610, and 161 × 100 = 16,100. Multiplying by 5 is half of multiplying by 10: half of 1,610 is 805.
Using the 161 times table to divide
Every fact also works backwards: because 161 × 7 = 1,127, you know 1,127 ÷ 161 = 7 and 1,127 ÷ 7 = 161. Practising the table and its division facts together halves the work.
161 times table practice worksheet
- 161 × 12 = ______
- 161 × 7 = ______
- 161 × 1 = ______
- 161 × 2 = ______
- 161 × 9 = ______
- 161 × 10 = ______
- 161 × 11 = ______
- 161 × 12 = ______
- 161 × 7 = ______
- 161 × 8 = ______
- 161 × 6 = ______
- 161 × 2 = ______
Answer key
- 1,932
- 1,127
- 161
- 322
- 1,449
- 1,610
- 1,771
- 1,932
- 1,127
- 1,288
- 966
- 322
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 161 pencils. How many pencils are in 4 boxes?
Answer
4 × 161 = 644 pencils. - Tickets cost $161 each. How much do 5 tickets cost?
Answer
5 × $161 = $805. - 1,449 chairs are set out in rows of 161. How many rows are there?
Answer
1,449 ÷ 161 = 9 rows. - A plant grows 161 millimetres a week. How much does it grow in 11 weeks?
Answer
11 × 161 = 1,771 millimetres.
Questions
What is 161 × 12?
1,932.
What is half of 161 × 8?
161 × 8 = 1,288, and half of that is 644, which is 161 × 4. Halving one factor halves the answer.
What is 161 times 0?
0. Any number multiplied by zero is zero, because zero groups of 161 contain nothing.
What is 161 × 7 and 161 × 8?
161 × 7 = 1,127 and 161 × 8 = 1,288. These two are the facts most people find hardest, so they are worth practising on their own.
Is 2,415 in the 161 times table?
Yes: 2,415 ÷ 161 = 15 with no remainder. 2,416 is not, because dividing it by 161 leaves a remainder of 1.
How do I learn the 161 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.