Sumwise

171 Times (171×) Multiplication Table

171 times table, 1 to 20

171 × 1171
171 × 2342
171 × 3513
171 × 4684
171 × 5855
171 × 61,026
171 × 71,197
171 × 81,368
171 × 91,539
171 × 101,710
171 × 111,881
171 × 122,052
171 × 132,223
171 × 142,394
171 × 152,565
171 × 162,736
171 × 172,907
171 × 183,078
171 × 193,249
171 × 203,420

Patterns that help you remember it

  • The last digits repeat in a cycle of 10: 1, 2, 3, 4, 5, 6, 7, 8, 9, 0.
  • The digits of every answer add up to a multiple of 9.
  • Split it into tens and ones: 171 × k = 170 × k + 1 × k.
  • Each answer is 171 more than the one before, so you can count on in steps of 171.

Building it from tables you already know

To multiply 171 by 9, multiply by 10 and take one 171 away: 1,710 − 171 = 1,539. To multiply by 11, multiply by 10 and add one more 171: 1,710 + 171 = 1,881. Multiplying by 4 is doubling twice: 171 → 342 → 684.

Every multiple of 171 is at least 171, so there are none below 100 and 5 below 1,000. A number is in the 171 times table exactly when it divides by 171 with no remainder.

Odd, even and the last digit

Because 171 is odd, the answers alternate between odd and even: 171 × 1 = 171 is odd, 171 × 2 = 342 is even, and so on. Multiplying by 10 always puts a zero on the end: 171 × 10 = 1,710, and 171 × 100 = 17,100. Multiplying by 5 is half of multiplying by 10: half of 1,710 is 855.

Using the 171 times table to divide

Every fact also works backwards: because 171 × 7 = 1,197, you know 1,197 ÷ 171 = 7 and 1,197 ÷ 7 = 171. Practising the table and its division facts together halves the work.

171 times table practice worksheet

  1. 171 × 1 = ______
  2. 171 × 7 = ______
  3. 171 × 6 = ______
  4. 171 × 2 = ______
  5. 171 × 7 = ______
  6. 171 × 7 = ______
  7. 171 × 8 = ______
  8. 171 × 7 = ______
  9. 171 × 2 = ______
  10. 171 × 7 = ______
  11. 171 × 2 = ______
  12. 171 × 6 = ______
Answer key
  1. 171
  2. 1,197
  3. 1,026
  4. 342
  5. 1,197
  6. 1,197
  7. 1,368
  8. 1,197
  9. 342
  10. 1,197
  11. 342
  12. 1,026

Word problems

Times tables are most useful when you can spot them in a question. Try these, then open each one to check:

  1. A box holds 171 pencils. How many pencils are in 5 boxes?
    Answer5 × 171 = 855 pencils.
  2. Tickets cost $171 each. How much do 10 tickets cost?
    Answer10 × $171 = $1,710.
  3. 1,026 chairs are set out in rows of 171. How many rows are there?
    Answer1,026 ÷ 171 = 6 rows.
  4. A plant grows 171 millimetres a week. How much does it grow in 8 weeks?
    Answer8 × 171 = 1,368 millimetres.

About this page

The table, the patterns and the practice questions are all calculated for 171 when the page is opened, so every fact on it is exact. Use the options above the worksheet to change the number of questions or the largest multiplier.

Questions

What is 171 × 12?

2,052.

What is half of 171 × 8?

171 × 8 = 1,368, and half of that is 684, which is 171 × 4. Halving one factor halves the answer.

What is 171 times 0?

0. Any number multiplied by zero is zero, because zero groups of 171 contain nothing.

What is 171 × 7 and 171 × 8?

171 × 7 = 1,197 and 171 × 8 = 1,368. These two are the facts most people find hardest, so they are worth practising on their own.

Is 2,565 in the 171 times table?

Yes: 2,565 ÷ 171 = 15 with no remainder. 2,566 is not, because dividing it by 171 leaves a remainder of 1.

How do I learn the 171 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.