1728 Times (1728×) Multiplication Table
1728 times table, 1 to 20
| 1728 × 1 | 1,728 |
| 1728 × 2 | 3,456 |
| 1728 × 3 | 5,184 |
| 1728 × 4 | 6,912 |
| 1728 × 5 | 8,640 |
| 1728 × 6 | 10,368 |
| 1728 × 7 | 12,096 |
| 1728 × 8 | 13,824 |
| 1728 × 9 | 15,552 |
| 1728 × 10 | 17,280 |
| 1728 × 11 | 19,008 |
| 1728 × 12 | 20,736 |
| 1728 × 13 | 22,464 |
| 1728 × 14 | 24,192 |
| 1728 × 15 | 25,920 |
| 1728 × 16 | 27,648 |
| 1728 × 17 | 29,376 |
| 1728 × 18 | 31,104 |
| 1728 × 19 | 32,832 |
| 1728 × 20 | 34,560 |
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 1728 is even.
- The digits of every answer add up to a multiple of 9.
- Split it into tens and ones: 1728 × k = 1720 × k + 8 × k.
- Each answer is 1728 more than the one before, so you can count on in steps of 1728.
Building it from tables you already know
Every answer in the 1728 times table is double the answer in the 864 times table: 864 × 6 = 5,184, so 1728 × 6 = 10,368. To multiply 1728 by 9, multiply by 10 and take one 1728 away: 17,280 − 1728 = 15,552. To multiply by 11, multiply by 10 and add one more 1728: 17,280 + 1728 = 19,008. Multiplying by 4 is doubling twice: 1728 → 3,456 → 6,912.
Every multiple of 1728 is at least 1728, so there are none below 100 and 0 below 1,000. A number is in the 1728 times table exactly when it divides by 1728 with no remainder.
Odd, even and the last digit
Because 1728 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: 1728 × 10 = 17,280, and 1728 × 100 = 172,800. Multiplying by 5 is half of multiplying by 10: half of 17,280 is 8,640.
Using the 1728 times table to divide
Every fact also works backwards: because 1728 × 7 = 12,096, you know 12,096 ÷ 1728 = 7 and 12,096 ÷ 7 = 1728. Practising the table and its division facts together halves the work.
1728 times table practice worksheet
- 1728 × 6 = ______
- 1728 × 2 = ______
- 1728 × 9 = ______
- 1728 × 2 = ______
- 1728 × 5 = ______
- 1728 × 3 = ______
- 1728 × 5 = ______
- 1728 × 11 = ______
- 1728 × 12 = ______
- 1728 × 8 = ______
- 1728 × 12 = ______
- 1728 × 5 = ______
Answer key
- 10,368
- 3,456
- 15,552
- 3,456
- 8,640
- 5,184
- 8,640
- 19,008
- 20,736
- 13,824
- 20,736
- 8,640
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 1728 pencils. How many pencils are in 8 boxes?
Answer
8 × 1728 = 13,824 pencils. - Tickets cost $1728 each. How much do 9 tickets cost?
Answer
9 × $1728 = $15,552. - 6,912 chairs are set out in rows of 1728. How many rows are there?
Answer
6,912 ÷ 1728 = 4 rows. - A plant grows 1728 millimetres a week. How much does it grow in 12 weeks?
Answer
12 × 1728 = 20,736 millimetres.
Questions
What is 1728 × 12?
20,736.
What is half of 1728 × 8?
1728 × 8 = 13,824, and half of that is 6,912, which is 1728 × 4. Halving one factor halves the answer.
What is 1728 times 0?
0. Any number multiplied by zero is zero, because zero groups of 1728 contain nothing.
What is 1728 × 7 and 1728 × 8?
1728 × 7 = 12,096 and 1728 × 8 = 13,824. These two are the facts most people find hardest, so they are worth practising on their own.
Is 25,920 in the 1728 times table?
Yes: 25,920 ÷ 1728 = 15 with no remainder. 25,921 is not, because dividing it by 1728 leaves a remainder of 1.
How do I learn the 1728 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.