1754 Times (1754×) Multiplication Table
1754 times table, 1 to 20
| 1754 × 1 | 1,754 |
| 1754 × 2 | 3,508 |
| 1754 × 3 | 5,262 |
| 1754 × 4 | 7,016 |
| 1754 × 5 | 8,770 |
| 1754 × 6 | 10,524 |
| 1754 × 7 | 12,278 |
| 1754 × 8 | 14,032 |
| 1754 × 9 | 15,786 |
| 1754 × 10 | 17,540 |
| 1754 × 11 | 19,294 |
| 1754 × 12 | 21,048 |
| 1754 × 13 | 22,802 |
| 1754 × 14 | 24,556 |
| 1754 × 15 | 26,310 |
| 1754 × 16 | 28,064 |
| 1754 × 17 | 29,818 |
| 1754 × 18 | 31,572 |
| 1754 × 19 | 33,326 |
| 1754 × 20 | 35,080 |
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 1754 is even.
- Split it into tens and ones: 1754 × k = 1750 × k + 4 × k.
- Each answer is 1754 more than the one before, so you can count on in steps of 1754.
Building it from tables you already know
Every answer in the 1754 times table is double the answer in the 877 times table: 877 × 6 = 5,262, so 1754 × 6 = 10,524. To multiply 1754 by 9, multiply by 10 and take one 1754 away: 17,540 − 1754 = 15,786. To multiply by 11, multiply by 10 and add one more 1754: 17,540 + 1754 = 19,294. Multiplying by 4 is doubling twice: 1754 → 3,508 → 7,016.
Every multiple of 1754 is at least 1754, so there are none below 100 and 0 below 1,000. A number is in the 1754 times table exactly when it divides by 1754 with no remainder.
Odd, even and the last digit
Because 1754 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: 1754 × 10 = 17,540, and 1754 × 100 = 175,400. Multiplying by 5 is half of multiplying by 10: half of 17,540 is 8,770.
Using the 1754 times table to divide
Every fact also works backwards: because 1754 × 7 = 12,278, you know 12,278 ÷ 1754 = 7 and 12,278 ÷ 7 = 1754. Practising the table and its division facts together halves the work.
1754 times table practice worksheet
- 1754 × 3 = ______
- 1754 × 1 = ______
- 1754 × 3 = ______
- 1754 × 7 = ______
- 1754 × 5 = ______
- 1754 × 12 = ______
- 1754 × 2 = ______
- 1754 × 2 = ______
- 1754 × 6 = ______
- 1754 × 7 = ______
- 1754 × 2 = ______
- 1754 × 4 = ______
Answer key
- 5,262
- 1,754
- 5,262
- 12,278
- 8,770
- 21,048
- 3,508
- 3,508
- 10,524
- 12,278
- 3,508
- 7,016
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 1754 pencils. How many pencils are in 6 boxes?
Answer
6 × 1754 = 10,524 pencils. - Tickets cost $1754 each. How much do 6 tickets cost?
Answer
6 × $1754 = $10,524. - 10,524 chairs are set out in rows of 1754. How many rows are there?
Answer
10,524 ÷ 1754 = 6 rows. - A plant grows 1754 millimetres a week. How much does it grow in 12 weeks?
Answer
12 × 1754 = 21,048 millimetres.
Questions
What is 1754 × 12?
21,048.
What is half of 1754 × 8?
1754 × 8 = 14,032, and half of that is 7,016, which is 1754 × 4. Halving one factor halves the answer.
What is 1754 times 0?
0. Any number multiplied by zero is zero, because zero groups of 1754 contain nothing.
What is 1754 × 7 and 1754 × 8?
1754 × 7 = 12,278 and 1754 × 8 = 14,032. These two are the facts most people find hardest, so they are worth practising on their own.
Is 26,310 in the 1754 times table?
Yes: 26,310 ÷ 1754 = 15 with no remainder. 26,311 is not, because dividing it by 1754 leaves a remainder of 1.
How do I learn the 1754 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.