231 Times (231×) Multiplication Table
231 times table, 1 to 20
| 231 × 1 | 231 |
| 231 × 2 | 462 |
| 231 × 3 | 693 |
| 231 × 4 | 924 |
| 231 × 5 | 1,155 |
| 231 × 6 | 1,386 |
| 231 × 7 | 1,617 |
| 231 × 8 | 1,848 |
| 231 × 9 | 2,079 |
| 231 × 10 | 2,310 |
| 231 × 11 | 2,541 |
| 231 × 12 | 2,772 |
| 231 × 13 | 3,003 |
| 231 × 14 | 3,234 |
| 231 × 15 | 3,465 |
| 231 × 16 | 3,696 |
| 231 × 17 | 3,927 |
| 231 × 18 | 4,158 |
| 231 × 19 | 4,389 |
| 231 × 20 | 4,620 |
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.
- Split it into tens and ones: 231 × k = 230 × k + 1 × k.
- Each answer is 231 more than the one before, so you can count on in steps of 231.
Building it from tables you already know
To multiply 231 by 9, multiply by 10 and take one 231 away: 2,310 − 231 = 2,079. To multiply by 11, multiply by 10 and add one more 231: 2,310 + 231 = 2,541. Multiplying by 4 is doubling twice: 231 → 462 → 924.
Every multiple of 231 is at least 231, so there are none below 100 and 4 below 1,000. A number is in the 231 times table exactly when it divides by 231 with no remainder.
Odd, even and the last digit
Because 231 is odd, the answers alternate between odd and even: 231 × 1 = 231 is odd, 231 × 2 = 462 is even, and so on. Multiplying by 10 always puts a zero on the end: 231 × 10 = 2,310, and 231 × 100 = 23,100. Multiplying by 5 is half of multiplying by 10: half of 2,310 is 1,155.
Using the 231 times table to divide
Every fact also works backwards: because 231 × 7 = 1,617, you know 1,617 ÷ 231 = 7 and 1,617 ÷ 7 = 231. Practising the table and its division facts together halves the work.
231 times table practice worksheet
- 231 × 4 = ______
- 231 × 10 = ______
- 231 × 7 = ______
- 231 × 6 = ______
- 231 × 7 = ______
- 231 × 8 = ______
- 231 × 4 = ______
- 231 × 10 = ______
- 231 × 7 = ______
- 231 × 1 = ______
- 231 × 7 = ______
- 231 × 10 = ______
Answer key
- 924
- 2,310
- 1,617
- 1,386
- 1,617
- 1,848
- 924
- 2,310
- 1,617
- 231
- 1,617
- 2,310
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 231 pencils. How many pencils are in 8 boxes?
Answer
8 × 231 = 1,848 pencils. - Tickets cost $231 each. How much do 7 tickets cost?
Answer
7 × $231 = $1,617. - 1,617 chairs are set out in rows of 231. How many rows are there?
Answer
1,617 ÷ 231 = 7 rows. - A plant grows 231 millimetres a week. How much does it grow in 7 weeks?
Answer
7 × 231 = 1,617 millimetres.
Questions
What is 231 × 12?
2,772.
What is half of 231 × 8?
231 × 8 = 1,848, and half of that is 924, which is 231 × 4. Halving one factor halves the answer.
What is 231 times 0?
0. Any number multiplied by zero is zero, because zero groups of 231 contain nothing.
What is 231 × 7 and 231 × 8?
231 × 7 = 1,617 and 231 × 8 = 1,848. These two are the facts most people find hardest, so they are worth practising on their own.
Is 3,465 in the 231 times table?
Yes: 3,465 ÷ 231 = 15 with no remainder. 3,466 is not, because dividing it by 231 leaves a remainder of 1.
How do I learn the 231 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.