1584 Times (1584×) Multiplication Table
1584 times table, 1 to 20
| 1584 × 1 | 1,584 |
| 1584 × 2 | 3,168 |
| 1584 × 3 | 4,752 |
| 1584 × 4 | 6,336 |
| 1584 × 5 | 7,920 |
| 1584 × 6 | 9,504 |
| 1584 × 7 | 11,088 |
| 1584 × 8 | 12,672 |
| 1584 × 9 | 14,256 |
| 1584 × 10 | 15,840 |
| 1584 × 11 | 17,424 |
| 1584 × 12 | 19,008 |
| 1584 × 13 | 20,592 |
| 1584 × 14 | 22,176 |
| 1584 × 15 | 23,760 |
| 1584 × 16 | 25,344 |
| 1584 × 17 | 26,928 |
| 1584 × 18 | 28,512 |
| 1584 × 19 | 30,096 |
| 1584 × 20 | 31,680 |
Patterns that help you remember it
- The last digits repeat in a cycle of 5: 4, 8, 2, 6, 0.
- Every answer is even, because 1584 is even.
- The digits of every answer add up to a multiple of 9.
- Split it into tens and ones: 1584 × k = 1580 × k + 4 × k.
- Each answer is 1584 more than the one before, so you can count on in steps of 1584.
Building it from tables you already know
Every answer in the 1584 times table is double the answer in the 792 times table: 792 × 6 = 4,752, so 1584 × 6 = 9,504. To multiply 1584 by 9, multiply by 10 and take one 1584 away: 15,840 − 1584 = 14,256. To multiply by 11, multiply by 10 and add one more 1584: 15,840 + 1584 = 17,424. Multiplying by 4 is doubling twice: 1584 → 3,168 → 6,336.
Every multiple of 1584 is at least 1584, so there are none below 100 and 0 below 1,000. A number is in the 1584 times table exactly when it divides by 1584 with no remainder.
Odd, even and the last digit
Because 1584 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: 1584 × 10 = 15,840, and 1584 × 100 = 158,400. Multiplying by 5 is half of multiplying by 10: half of 15,840 is 7,920.
Using the 1584 times table to divide
Every fact also works backwards: because 1584 × 7 = 11,088, you know 11,088 ÷ 1584 = 7 and 11,088 ÷ 7 = 1584. Practising the table and its division facts together halves the work.
1584 times table practice worksheet
- 1584 × 2 = ______
- 1584 × 12 = ______
- 1584 × 9 = ______
- 1584 × 3 = ______
- 1584 × 4 = ______
- 1584 × 7 = ______
- 1584 × 6 = ______
- 1584 × 1 = ______
- 1584 × 8 = ______
- 1584 × 2 = ______
- 1584 × 11 = ______
- 1584 × 7 = ______
Answer key
- 3,168
- 19,008
- 14,256
- 4,752
- 6,336
- 11,088
- 9,504
- 1,584
- 12,672
- 3,168
- 17,424
- 11,088
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 1584 pencils. How many pencils are in 8 boxes?
Answer
8 × 1584 = 12,672 pencils. - Tickets cost $1584 each. How much do 5 tickets cost?
Answer
5 × $1584 = $7,920. - 12,672 chairs are set out in rows of 1584. How many rows are there?
Answer
12,672 ÷ 1584 = 8 rows. - A plant grows 1584 millimetres a week. How much does it grow in 6 weeks?
Answer
6 × 1584 = 9,504 millimetres.
Questions
What is 1584 × 12?
19,008.
What is half of 1584 × 8?
1584 × 8 = 12,672, and half of that is 6,336, which is 1584 × 4. Halving one factor halves the answer.
What is 1584 times 0?
0. Any number multiplied by zero is zero, because zero groups of 1584 contain nothing.
What is 1584 × 7 and 1584 × 8?
1584 × 7 = 11,088 and 1584 × 8 = 12,672. These two are the facts most people find hardest, so they are worth practising on their own.
Is 23,760 in the 1584 times table?
Yes: 23,760 ÷ 1584 = 15 with no remainder. 23,761 is not, because dividing it by 1584 leaves a remainder of 1.
How do I learn the 1584 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.