Sumwise

538 Times (538×) Multiplication Table

538 times table, 1 to 20

538 × 1538
538 × 21,076
538 × 31,614
538 × 42,152
538 × 52,690
538 × 63,228
538 × 73,766
538 × 84,304
538 × 94,842
538 × 105,380
538 × 115,918
538 × 126,456
538 × 136,994
538 × 147,532
538 × 158,070
538 × 168,608
538 × 179,146
538 × 189,684
538 × 1910,222
538 × 2010,760

Patterns that help you remember it

  • The last digits repeat in a cycle of 5: 8, 6, 4, 2, 0.
  • Every answer is even, because 538 is even.
  • Split it into tens and ones: 538 × k = 530 × k + 8 × k.
  • Each answer is 538 more than the one before, so you can count on in steps of 538.

Building it from tables you already know

Every answer in the 538 times table is double the answer in the 269 times table: 269 × 6 = 1,614, so 538 × 6 = 3,228. To multiply 538 by 9, multiply by 10 and take one 538 away: 5,380 − 538 = 4,842. To multiply by 11, multiply by 10 and add one more 538: 5,380 + 538 = 5,918. Multiplying by 4 is doubling twice: 538 → 1,076 → 2,152.

Every multiple of 538 is at least 538, so there are none below 100 and 1 below 1,000. A number is in the 538 times table exactly when it divides by 538 with no remainder.

Odd, even and the last digit

Because 538 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: 538 × 10 = 5,380, and 538 × 100 = 53,800. Multiplying by 5 is half of multiplying by 10: half of 5,380 is 2,690.

Using the 538 times table to divide

Every fact also works backwards: because 538 × 7 = 3,766, you know 3,766 ÷ 538 = 7 and 3,766 ÷ 7 = 538. Practising the table and its division facts together halves the work.

538 times table practice worksheet

  1. 538 × 3 = ______
  2. 538 × 7 = ______
  3. 538 × 11 = ______
  4. 538 × 5 = ______
  5. 538 × 10 = ______
  6. 538 × 6 = ______
  7. 538 × 9 = ______
  8. 538 × 4 = ______
  9. 538 × 1 = ______
  10. 538 × 9 = ______
  11. 538 × 1 = ______
  12. 538 × 12 = ______
Answer key
  1. 1,614
  2. 3,766
  3. 5,918
  4. 2,690
  5. 5,380
  6. 3,228
  7. 4,842
  8. 2,152
  9. 538
  10. 4,842
  11. 538
  12. 6,456

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 538 pencils. How many pencils are in 6 boxes?
    Answer6 × 538 = 3,228 pencils.
  2. Tickets cost $538 each. How much do 9 tickets cost?
    Answer9 × $538 = $4,842.
  3. 4,842 chairs are set out in rows of 538. How many rows are there?
    Answer4,842 ÷ 538 = 9 rows.
  4. A plant grows 538 millimetres a week. How much does it grow in 6 weeks?
    Answer6 × 538 = 3,228 millimetres.

About this page

The table, the patterns and the practice questions are all calculated for 538 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 538 × 12?

6,456.

What is half of 538 × 8?

538 × 8 = 4,304, and half of that is 2,152, which is 538 × 4. Halving one factor halves the answer.

What is 538 times 0?

0. Any number multiplied by zero is zero, because zero groups of 538 contain nothing.

What is 538 × 7 and 538 × 8?

538 × 7 = 3,766 and 538 × 8 = 4,304. These two are the facts most people find hardest, so they are worth practising on their own.

Is 8,070 in the 538 times table?

Yes: 8,070 ÷ 538 = 15 with no remainder. 8,071 is not, because dividing it by 538 leaves a remainder of 1.

How do I learn the 538 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.