1461 Times (1461×) Multiplication Table
1461 times table, 1 to 20
| 1461 × 1 | 1,461 |
| 1461 × 2 | 2,922 |
| 1461 × 3 | 4,383 |
| 1461 × 4 | 5,844 |
| 1461 × 5 | 7,305 |
| 1461 × 6 | 8,766 |
| 1461 × 7 | 10,227 |
| 1461 × 8 | 11,688 |
| 1461 × 9 | 13,149 |
| 1461 × 10 | 14,610 |
| 1461 × 11 | 16,071 |
| 1461 × 12 | 17,532 |
| 1461 × 13 | 18,993 |
| 1461 × 14 | 20,454 |
| 1461 × 15 | 21,915 |
| 1461 × 16 | 23,376 |
| 1461 × 17 | 24,837 |
| 1461 × 18 | 26,298 |
| 1461 × 19 | 27,759 |
| 1461 × 20 | 29,220 |
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: 1461 × k = 1460 × k + 1 × k.
- Each answer is 1461 more than the one before, so you can count on in steps of 1461.
Building it from tables you already know
To multiply 1461 by 9, multiply by 10 and take one 1461 away: 14,610 − 1461 = 13,149. To multiply by 11, multiply by 10 and add one more 1461: 14,610 + 1461 = 16,071. Multiplying by 4 is doubling twice: 1461 → 2,922 → 5,844.
Every multiple of 1461 is at least 1461, so there are none below 100 and 0 below 1,000. A number is in the 1461 times table exactly when it divides by 1461 with no remainder.
Odd, even and the last digit
Because 1461 is odd, the answers alternate between odd and even: 1461 × 1 = 1461 is odd, 1461 × 2 = 2,922 is even, and so on. Multiplying by 10 always puts a zero on the end: 1461 × 10 = 14,610, and 1461 × 100 = 146,100. Multiplying by 5 is half of multiplying by 10: half of 14,610 is 7,305.
Using the 1461 times table to divide
Every fact also works backwards: because 1461 × 7 = 10,227, you know 10,227 ÷ 1461 = 7 and 10,227 ÷ 7 = 1461. Practising the table and its division facts together halves the work.
1461 times table practice worksheet
- 1461 × 11 = ______
- 1461 × 12 = ______
- 1461 × 8 = ______
- 1461 × 3 = ______
- 1461 × 5 = ______
- 1461 × 4 = ______
- 1461 × 7 = ______
- 1461 × 3 = ______
- 1461 × 9 = ______
- 1461 × 4 = ______
- 1461 × 11 = ______
- 1461 × 1 = ______
Answer key
- 16,071
- 17,532
- 11,688
- 4,383
- 7,305
- 5,844
- 10,227
- 4,383
- 13,149
- 5,844
- 16,071
- 1,461
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 1461 pencils. How many pencils are in 9 boxes?
Answer
9 × 1461 = 13,149 pencils. - Tickets cost $1461 each. How much do 5 tickets cost?
Answer
5 × $1461 = $7,305. - 7,305 chairs are set out in rows of 1461. How many rows are there?
Answer
7,305 ÷ 1461 = 5 rows. - A plant grows 1461 millimetres a week. How much does it grow in 10 weeks?
Answer
10 × 1461 = 14,610 millimetres.
Questions
What is 1461 × 12?
17,532.
What is half of 1461 × 8?
1461 × 8 = 11,688, and half of that is 5,844, which is 1461 × 4. Halving one factor halves the answer.
What is 1461 times 0?
0. Any number multiplied by zero is zero, because zero groups of 1461 contain nothing.
What is 1461 × 7 and 1461 × 8?
1461 × 7 = 10,227 and 1461 × 8 = 11,688. These two are the facts most people find hardest, so they are worth practising on their own.
Is 21,915 in the 1461 times table?
Yes: 21,915 ÷ 1461 = 15 with no remainder. 21,916 is not, because dividing it by 1461 leaves a remainder of 1.
How do I learn the 1461 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.