1538 Times (1538×) Multiplication Table
1538 times table, 1 to 20
| 1538 × 1 | 1,538 |
| 1538 × 2 | 3,076 |
| 1538 × 3 | 4,614 |
| 1538 × 4 | 6,152 |
| 1538 × 5 | 7,690 |
| 1538 × 6 | 9,228 |
| 1538 × 7 | 10,766 |
| 1538 × 8 | 12,304 |
| 1538 × 9 | 13,842 |
| 1538 × 10 | 15,380 |
| 1538 × 11 | 16,918 |
| 1538 × 12 | 18,456 |
| 1538 × 13 | 19,994 |
| 1538 × 14 | 21,532 |
| 1538 × 15 | 23,070 |
| 1538 × 16 | 24,608 |
| 1538 × 17 | 26,146 |
| 1538 × 18 | 27,684 |
| 1538 × 19 | 29,222 |
| 1538 × 20 | 30,760 |
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 1538 is even.
- Split it into tens and ones: 1538 × k = 1530 × k + 8 × k.
- Each answer is 1538 more than the one before, so you can count on in steps of 1538.
Building it from tables you already know
Every answer in the 1538 times table is double the answer in the 769 times table: 769 × 6 = 4,614, so 1538 × 6 = 9,228. To multiply 1538 by 9, multiply by 10 and take one 1538 away: 15,380 − 1538 = 13,842. To multiply by 11, multiply by 10 and add one more 1538: 15,380 + 1538 = 16,918. Multiplying by 4 is doubling twice: 1538 → 3,076 → 6,152.
Every multiple of 1538 is at least 1538, so there are none below 100 and 0 below 1,000. A number is in the 1538 times table exactly when it divides by 1538 with no remainder.
Odd, even and the last digit
Because 1538 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: 1538 × 10 = 15,380, and 1538 × 100 = 153,800. Multiplying by 5 is half of multiplying by 10: half of 15,380 is 7,690.
Using the 1538 times table to divide
Every fact also works backwards: because 1538 × 7 = 10,766, you know 10,766 ÷ 1538 = 7 and 10,766 ÷ 7 = 1538. Practising the table and its division facts together halves the work.
1538 times table practice worksheet
- 1538 × 4 = ______
- 1538 × 4 = ______
- 1538 × 3 = ______
- 1538 × 8 = ______
- 1538 × 6 = ______
- 1538 × 4 = ______
- 1538 × 5 = ______
- 1538 × 8 = ______
- 1538 × 1 = ______
- 1538 × 5 = ______
- 1538 × 5 = ______
- 1538 × 11 = ______
Answer key
- 6,152
- 6,152
- 4,614
- 12,304
- 9,228
- 6,152
- 7,690
- 12,304
- 1,538
- 7,690
- 7,690
- 16,918
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 1538 pencils. How many pencils are in 4 boxes?
Answer
4 × 1538 = 6,152 pencils. - Tickets cost $1538 each. How much do 8 tickets cost?
Answer
8 × $1538 = $12,304. - 10,766 chairs are set out in rows of 1538. How many rows are there?
Answer
10,766 ÷ 1538 = 7 rows. - A plant grows 1538 millimetres a week. How much does it grow in 9 weeks?
Answer
9 × 1538 = 13,842 millimetres.
Questions
What is 1538 × 12?
18,456.
What is half of 1538 × 8?
1538 × 8 = 12,304, and half of that is 6,152, which is 1538 × 4. Halving one factor halves the answer.
What is 1538 times 0?
0. Any number multiplied by zero is zero, because zero groups of 1538 contain nothing.
What is 1538 × 7 and 1538 × 8?
1538 × 7 = 10,766 and 1538 × 8 = 12,304. These two are the facts most people find hardest, so they are worth practising on their own.
Is 23,070 in the 1538 times table?
Yes: 23,070 ÷ 1538 = 15 with no remainder. 23,071 is not, because dividing it by 1538 leaves a remainder of 1.
How do I learn the 1538 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.