175 Times (175×) Multiplication Table
175 times table, 1 to 20
| 175 × 1 | 175 |
| 175 × 2 | 350 |
| 175 × 3 | 525 |
| 175 × 4 | 700 |
| 175 × 5 | 875 |
| 175 × 6 | 1,050 |
| 175 × 7 | 1,225 |
| 175 × 8 | 1,400 |
| 175 × 9 | 1,575 |
| 175 × 10 | 1,750 |
| 175 × 11 | 1,925 |
| 175 × 12 | 2,100 |
| 175 × 13 | 2,275 |
| 175 × 14 | 2,450 |
| 175 × 15 | 2,625 |
| 175 × 16 | 2,800 |
| 175 × 17 | 2,975 |
| 175 × 18 | 3,150 |
| 175 × 19 | 3,325 |
| 175 × 20 | 3,500 |
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: 175 × k = 170 × k + 5 × k.
- Each answer is 175 more than the one before, so you can count on in steps of 175.
Building it from tables you already know
To multiply 175 by 9, multiply by 10 and take one 175 away: 1,750 − 175 = 1,575. To multiply by 11, multiply by 10 and add one more 175: 1,750 + 175 = 1,925. Multiplying by 4 is doubling twice: 175 → 350 → 700.
Every multiple of 175 is at least 175, so there are none below 100 and 5 below 1,000. A number is in the 175 times table exactly when it divides by 175 with no remainder.
Odd, even and the last digit
Because 175 is odd, the answers alternate between odd and even: 175 × 1 = 175 is odd, 175 × 2 = 350 is even, and so on. Multiplying by 10 always puts a zero on the end: 175 × 10 = 1,750, and 175 × 100 = 17,500. Multiplying by 5 is half of multiplying by 10: half of 1,750 is 875.
Using the 175 times table to divide
Every fact also works backwards: because 175 × 7 = 1,225, you know 1,225 ÷ 175 = 7 and 1,225 ÷ 7 = 175. Practising the table and its division facts together halves the work.
175 times table practice worksheet
- 175 × 1 = ______
- 175 × 7 = ______
- 175 × 11 = ______
- 175 × 5 = ______
- 175 × 2 = ______
- 175 × 3 = ______
- 175 × 1 = ______
- 175 × 9 = ______
- 175 × 1 = ______
- 175 × 3 = ______
- 175 × 8 = ______
- 175 × 10 = ______
Answer key
- 175
- 1,225
- 1,925
- 875
- 350
- 525
- 175
- 1,575
- 175
- 525
- 1,400
- 1,750
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 175 pencils. How many pencils are in 5 boxes?
Answer
5 × 175 = 875 pencils. - Tickets cost $175 each. How much do 12 tickets cost?
Answer
12 × $175 = $2,100. - 525 chairs are set out in rows of 175. How many rows are there?
Answer
525 ÷ 175 = 3 rows. - A plant grows 175 millimetres a week. How much does it grow in 12 weeks?
Answer
12 × 175 = 2,100 millimetres.
Questions
What is 175 × 12?
2,100.
What is half of 175 × 8?
175 × 8 = 1,400, and half of that is 700, which is 175 × 4. Halving one factor halves the answer.
What is 175 times 0?
0. Any number multiplied by zero is zero, because zero groups of 175 contain nothing.
What is 175 × 7 and 175 × 8?
175 × 7 = 1,225 and 175 × 8 = 1,400. These two are the facts most people find hardest, so they are worth practising on their own.
Is 2,625 in the 175 times table?
Yes: 2,625 ÷ 175 = 15 with no remainder. 2,626 is not, because dividing it by 175 leaves a remainder of 1.
How do I learn the 175 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.