1587 Times (1587×) Multiplication Table
1587 times table, 1 to 20
| 1587 × 1 | 1,587 |
| 1587 × 2 | 3,174 |
| 1587 × 3 | 4,761 |
| 1587 × 4 | 6,348 |
| 1587 × 5 | 7,935 |
| 1587 × 6 | 9,522 |
| 1587 × 7 | 11,109 |
| 1587 × 8 | 12,696 |
| 1587 × 9 | 14,283 |
| 1587 × 10 | 15,870 |
| 1587 × 11 | 17,457 |
| 1587 × 12 | 19,044 |
| 1587 × 13 | 20,631 |
| 1587 × 14 | 22,218 |
| 1587 × 15 | 23,805 |
| 1587 × 16 | 25,392 |
| 1587 × 17 | 26,979 |
| 1587 × 18 | 28,566 |
| 1587 × 19 | 30,153 |
| 1587 × 20 | 31,740 |
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: 1587 × k = 1580 × k + 7 × k.
- Each answer is 1587 more than the one before, so you can count on in steps of 1587.
Building it from tables you already know
To multiply 1587 by 9, multiply by 10 and take one 1587 away: 15,870 − 1587 = 14,283. To multiply by 11, multiply by 10 and add one more 1587: 15,870 + 1587 = 17,457. Multiplying by 4 is doubling twice: 1587 → 3,174 → 6,348.
Every multiple of 1587 is at least 1587, so there are none below 100 and 0 below 1,000. A number is in the 1587 times table exactly when it divides by 1587 with no remainder.
Odd, even and the last digit
Because 1587 is odd, the answers alternate between odd and even: 1587 × 1 = 1587 is odd, 1587 × 2 = 3,174 is even, and so on. Multiplying by 10 always puts a zero on the end: 1587 × 10 = 15,870, and 1587 × 100 = 158,700. Multiplying by 5 is half of multiplying by 10: half of 15,870 is 7,935.
Using the 1587 times table to divide
Every fact also works backwards: because 1587 × 7 = 11,109, you know 11,109 ÷ 1587 = 7 and 11,109 ÷ 7 = 1587. Practising the table and its division facts together halves the work.
1587 times table practice worksheet
- 1587 × 3 = ______
- 1587 × 6 = ______
- 1587 × 4 = ______
- 1587 × 1 = ______
- 1587 × 7 = ______
- 1587 × 4 = ______
- 1587 × 3 = ______
- 1587 × 1 = ______
- 1587 × 9 = ______
- 1587 × 4 = ______
- 1587 × 11 = ______
- 1587 × 10 = ______
Answer key
- 4,761
- 9,522
- 6,348
- 1,587
- 11,109
- 6,348
- 4,761
- 1,587
- 14,283
- 6,348
- 17,457
- 15,870
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 1587 pencils. How many pencils are in 8 boxes?
Answer
8 × 1587 = 12,696 pencils. - Tickets cost $1587 each. How much do 4 tickets cost?
Answer
4 × $1587 = $6,348. - 7,935 chairs are set out in rows of 1587. How many rows are there?
Answer
7,935 ÷ 1587 = 5 rows. - A plant grows 1587 millimetres a week. How much does it grow in 12 weeks?
Answer
12 × 1587 = 19,044 millimetres.
Questions
What is 1587 × 12?
19,044.
What is half of 1587 × 8?
1587 × 8 = 12,696, and half of that is 6,348, which is 1587 × 4. Halving one factor halves the answer.
What is 1587 times 0?
0. Any number multiplied by zero is zero, because zero groups of 1587 contain nothing.
What is 1587 × 7 and 1587 × 8?
1587 × 7 = 11,109 and 1587 × 8 = 12,696. These two are the facts most people find hardest, so they are worth practising on their own.
Is 23,805 in the 1587 times table?
Yes: 23,805 ÷ 1587 = 15 with no remainder. 23,806 is not, because dividing it by 1587 leaves a remainder of 1.
How do I learn the 1587 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.