Sumwise

172 Times (172×) Multiplication Table

172 times table, 1 to 20

172 × 1172
172 × 2344
172 × 3516
172 × 4688
172 × 5860
172 × 61,032
172 × 71,204
172 × 81,376
172 × 91,548
172 × 101,720
172 × 111,892
172 × 122,064
172 × 132,236
172 × 142,408
172 × 152,580
172 × 162,752
172 × 172,924
172 × 183,096
172 × 193,268
172 × 203,440

Patterns that help you remember it

  • The last digits repeat in a cycle of 5: 2, 4, 6, 8, 0.
  • Every answer is even, because 172 is even.
  • Split it into tens and ones: 172 × k = 170 × k + 2 × k.
  • Each answer is 172 more than the one before, so you can count on in steps of 172.

Building it from tables you already know

Every answer in the 172 times table is double the answer in the 86 times table: 86 × 6 = 516, so 172 × 6 = 1,032. To multiply 172 by 9, multiply by 10 and take one 172 away: 1,720 − 172 = 1,548. To multiply by 11, multiply by 10 and add one more 172: 1,720 + 172 = 1,892. Multiplying by 4 is doubling twice: 172 → 344 → 688.

Every multiple of 172 is at least 172, so there are none below 100 and 5 below 1,000. A number is in the 172 times table exactly when it divides by 172 with no remainder.

Odd, even and the last digit

Because 172 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: 172 × 10 = 1,720, and 172 × 100 = 17,200. Multiplying by 5 is half of multiplying by 10: half of 1,720 is 860.

Using the 172 times table to divide

Every fact also works backwards: because 172 × 7 = 1,204, you know 1,204 ÷ 172 = 7 and 1,204 ÷ 7 = 172. Practising the table and its division facts together halves the work.

172 times table practice worksheet

  1. 172 × 1 = ______
  2. 172 × 2 = ______
  3. 172 × 9 = ______
  4. 172 × 8 = ______
  5. 172 × 10 = ______
  6. 172 × 10 = ______
  7. 172 × 4 = ______
  8. 172 × 2 = ______
  9. 172 × 6 = ______
  10. 172 × 7 = ______
  11. 172 × 6 = ______
  12. 172 × 12 = ______
Answer key
  1. 172
  2. 344
  3. 1,548
  4. 1,376
  5. 1,720
  6. 1,720
  7. 688
  8. 344
  9. 1,032
  10. 1,204
  11. 1,032
  12. 2,064

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 172 pencils. How many pencils are in 5 boxes?
    Answer5 × 172 = 860 pencils.
  2. Tickets cost $172 each. How much do 11 tickets cost?
    Answer11 × $172 = $1,892.
  3. 1,204 chairs are set out in rows of 172. How many rows are there?
    Answer1,204 ÷ 172 = 7 rows.
  4. A plant grows 172 millimetres a week. How much does it grow in 9 weeks?
    Answer9 × 172 = 1,548 millimetres.

About this page

The table, the patterns and the practice questions are all calculated for 172 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 172 × 12?

2,064.

What is half of 172 × 8?

172 × 8 = 1,376, and half of that is 688, which is 172 × 4. Halving one factor halves the answer.

What is 172 times 0?

0. Any number multiplied by zero is zero, because zero groups of 172 contain nothing.

What is 172 × 7 and 172 × 8?

172 × 7 = 1,204 and 172 × 8 = 1,376. These two are the facts most people find hardest, so they are worth practising on their own.

Is 2,580 in the 172 times table?

Yes: 2,580 ÷ 172 = 15 with no remainder. 2,581 is not, because dividing it by 172 leaves a remainder of 1.

How do I learn the 172 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.