1745 Times (1745×) Multiplication Table
1745 times table, 1 to 20
| 1745 × 1 | 1,745 |
| 1745 × 2 | 3,490 |
| 1745 × 3 | 5,235 |
| 1745 × 4 | 6,980 |
| 1745 × 5 | 8,725 |
| 1745 × 6 | 10,470 |
| 1745 × 7 | 12,215 |
| 1745 × 8 | 13,960 |
| 1745 × 9 | 15,705 |
| 1745 × 10 | 17,450 |
| 1745 × 11 | 19,195 |
| 1745 × 12 | 20,940 |
| 1745 × 13 | 22,685 |
| 1745 × 14 | 24,430 |
| 1745 × 15 | 26,175 |
| 1745 × 16 | 27,920 |
| 1745 × 17 | 29,665 |
| 1745 × 18 | 31,410 |
| 1745 × 19 | 33,155 |
| 1745 × 20 | 34,900 |
Patterns that help you remember it
- The last digits repeat in a cycle of 2: 5, 0.
- Every answer ends in 0 or 5.
- Split it into tens and ones: 1745 × k = 1740 × k + 5 × k.
- Each answer is 1745 more than the one before, so you can count on in steps of 1745.
Building it from tables you already know
To multiply 1745 by 9, multiply by 10 and take one 1745 away: 17,450 − 1745 = 15,705. To multiply by 11, multiply by 10 and add one more 1745: 17,450 + 1745 = 19,195. Multiplying by 4 is doubling twice: 1745 → 3,490 → 6,980.
Every multiple of 1745 is at least 1745, so there are none below 100 and 0 below 1,000. A number is in the 1745 times table exactly when it divides by 1745 with no remainder.
Odd, even and the last digit
Because 1745 is odd, the answers alternate between odd and even: 1745 × 1 = 1745 is odd, 1745 × 2 = 3,490 is even, and so on. Multiplying by 10 always puts a zero on the end: 1745 × 10 = 17,450, and 1745 × 100 = 174,500. Multiplying by 5 is half of multiplying by 10: half of 17,450 is 8,725.
Using the 1745 times table to divide
Every fact also works backwards: because 1745 × 7 = 12,215, you know 12,215 ÷ 1745 = 7 and 12,215 ÷ 7 = 1745. Practising the table and its division facts together halves the work.
1745 times table practice worksheet
- 1745 × 1 = ______
- 1745 × 7 = ______
- 1745 × 2 = ______
- 1745 × 6 = ______
- 1745 × 11 = ______
- 1745 × 5 = ______
- 1745 × 1 = ______
- 1745 × 5 = ______
- 1745 × 2 = ______
- 1745 × 2 = ______
- 1745 × 1 = ______
- 1745 × 1 = ______
Answer key
- 1,745
- 12,215
- 3,490
- 10,470
- 19,195
- 8,725
- 1,745
- 8,725
- 3,490
- 3,490
- 1,745
- 1,745
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 1745 pencils. How many pencils are in 7 boxes?
Answer
7 × 1745 = 12,215 pencils. - Tickets cost $1745 each. How much do 5 tickets cost?
Answer
5 × $1745 = $8,725. - 8,725 chairs are set out in rows of 1745. How many rows are there?
Answer
8,725 ÷ 1745 = 5 rows. - A plant grows 1745 millimetres a week. How much does it grow in 7 weeks?
Answer
7 × 1745 = 12,215 millimetres.
Questions
What is 1745 × 12?
20,940.
What is half of 1745 × 8?
1745 × 8 = 13,960, and half of that is 6,980, which is 1745 × 4. Halving one factor halves the answer.
What is 1745 times 0?
0. Any number multiplied by zero is zero, because zero groups of 1745 contain nothing.
What is 1745 × 7 and 1745 × 8?
1745 × 7 = 12,215 and 1745 × 8 = 13,960. These two are the facts most people find hardest, so they are worth practising on their own.
Is 26,175 in the 1745 times table?
Yes: 26,175 ÷ 1745 = 15 with no remainder. 26,176 is not, because dividing it by 1745 leaves a remainder of 1.
How do I learn the 1745 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.