109 Times (109×) Multiplication Table
109 times table, 1 to 20
| 109 × 1 | 109 |
| 109 × 2 | 218 |
| 109 × 3 | 327 |
| 109 × 4 | 436 |
| 109 × 5 | 545 |
| 109 × 6 | 654 |
| 109 × 7 | 763 |
| 109 × 8 | 872 |
| 109 × 9 | 981 |
| 109 × 10 | 1,090 |
| 109 × 11 | 1,199 |
| 109 × 12 | 1,308 |
| 109 × 13 | 1,417 |
| 109 × 14 | 1,526 |
| 109 × 15 | 1,635 |
| 109 × 16 | 1,744 |
| 109 × 17 | 1,853 |
| 109 × 18 | 1,962 |
| 109 × 19 | 2,071 |
| 109 × 20 | 2,180 |
Patterns that help you remember it
- The last digits repeat in a cycle of 10: 9, 8, 7, 6, 5, 4, 3, 2, 1, 0.
- Split it into tens and ones: 109 × k = 100 × k + 9 × k.
- Each answer is 109 more than the one before, so you can count on in steps of 109.
Building it from tables you already know
To multiply 109 by 9, multiply by 10 and take one 109 away: 1,090 − 109 = 981. To multiply by 11, multiply by 10 and add one more 109: 1,090 + 109 = 1,199. Multiplying by 4 is doubling twice: 109 → 218 → 436.
Every multiple of 109 is at least 109, so there are none below 100 and 9 below 1,000. A number is in the 109 times table exactly when it divides by 109 with no remainder.
Odd, even and the last digit
Because 109 is odd, the answers alternate between odd and even: 109 × 1 = 109 is odd, 109 × 2 = 218 is even, and so on. Multiplying by 10 always puts a zero on the end: 109 × 10 = 1,090, and 109 × 100 = 10,900. Multiplying by 5 is half of multiplying by 10: half of 1,090 is 545.
Using the 109 times table to divide
Every fact also works backwards: because 109 × 7 = 763, you know 763 ÷ 109 = 7 and 763 ÷ 7 = 109. Practising the table and its division facts together halves the work.
109 times table practice worksheet
- 109 × 8 = ______
- 109 × 11 = ______
- 109 × 8 = ______
- 109 × 10 = ______
- 109 × 1 = ______
- 109 × 1 = ______
- 109 × 5 = ______
- 109 × 6 = ______
- 109 × 6 = ______
- 109 × 6 = ______
- 109 × 2 = ______
- 109 × 2 = ______
Answer key
- 872
- 1,199
- 872
- 1,090
- 109
- 109
- 545
- 654
- 654
- 654
- 218
- 218
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 109 pencils. How many pencils are in 8 boxes?
Answer
8 × 109 = 872 pencils. - Tickets cost $109 each. How much do 9 tickets cost?
Answer
9 × $109 = $981. - 436 chairs are set out in rows of 109. How many rows are there?
Answer
436 ÷ 109 = 4 rows. - A plant grows 109 millimetres a week. How much does it grow in 8 weeks?
Answer
8 × 109 = 872 millimetres.
Questions
What is 109 × 12?
1,308.
What is half of 109 × 8?
109 × 8 = 872, and half of that is 436, which is 109 × 4. Halving one factor halves the answer.
What is 109 times 0?
0. Any number multiplied by zero is zero, because zero groups of 109 contain nothing.
What is 109 × 7 and 109 × 8?
109 × 7 = 763 and 109 × 8 = 872. These two are the facts most people find hardest, so they are worth practising on their own.
Is 1,635 in the 109 times table?
Yes: 1,635 ÷ 109 = 15 with no remainder. 1,636 is not, because dividing it by 109 leaves a remainder of 1.
How do I learn the 109 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.