861 Times (861×) Multiplication Table
861 times table, 1 to 20
| 861 × 1 | 861 |
| 861 × 2 | 1,722 |
| 861 × 3 | 2,583 |
| 861 × 4 | 3,444 |
| 861 × 5 | 4,305 |
| 861 × 6 | 5,166 |
| 861 × 7 | 6,027 |
| 861 × 8 | 6,888 |
| 861 × 9 | 7,749 |
| 861 × 10 | 8,610 |
| 861 × 11 | 9,471 |
| 861 × 12 | 10,332 |
| 861 × 13 | 11,193 |
| 861 × 14 | 12,054 |
| 861 × 15 | 12,915 |
| 861 × 16 | 13,776 |
| 861 × 17 | 14,637 |
| 861 × 18 | 15,498 |
| 861 × 19 | 16,359 |
| 861 × 20 | 17,220 |
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: 861 × k = 860 × k + 1 × k.
- Each answer is 861 more than the one before, so you can count on in steps of 861.
Building it from tables you already know
To multiply 861 by 9, multiply by 10 and take one 861 away: 8,610 − 861 = 7,749. To multiply by 11, multiply by 10 and add one more 861: 8,610 + 861 = 9,471. Multiplying by 4 is doubling twice: 861 → 1,722 → 3,444.
Every multiple of 861 is at least 861, so there are none below 100 and 1 below 1,000. A number is in the 861 times table exactly when it divides by 861 with no remainder.
Odd, even and the last digit
Because 861 is odd, the answers alternate between odd and even: 861 × 1 = 861 is odd, 861 × 2 = 1,722 is even, and so on. Multiplying by 10 always puts a zero on the end: 861 × 10 = 8,610, and 861 × 100 = 86,100. Multiplying by 5 is half of multiplying by 10: half of 8,610 is 4,305.
Using the 861 times table to divide
Every fact also works backwards: because 861 × 7 = 6,027, you know 6,027 ÷ 861 = 7 and 6,027 ÷ 7 = 861. Practising the table and its division facts together halves the work.
861 times table practice worksheet
- 861 × 3 = ______
- 861 × 5 = ______
- 861 × 11 = ______
- 861 × 3 = ______
- 861 × 8 = ______
- 861 × 1 = ______
- 861 × 7 = ______
- 861 × 8 = ______
- 861 × 3 = ______
- 861 × 8 = ______
- 861 × 7 = ______
- 861 × 3 = ______
Answer key
- 2,583
- 4,305
- 9,471
- 2,583
- 6,888
- 861
- 6,027
- 6,888
- 2,583
- 6,888
- 6,027
- 2,583
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 861 pencils. How many pencils are in 8 boxes?
Answer
8 × 861 = 6,888 pencils. - Tickets cost $861 each. How much do 9 tickets cost?
Answer
9 × $861 = $7,749. - 1,722 chairs are set out in rows of 861. How many rows are there?
Answer
1,722 ÷ 861 = 2 rows. - A plant grows 861 millimetres a week. How much does it grow in 6 weeks?
Answer
6 × 861 = 5,166 millimetres.
Questions
What is 861 × 12?
10,332.
What is half of 861 × 8?
861 × 8 = 6,888, and half of that is 3,444, which is 861 × 4. Halving one factor halves the answer.
What is 861 times 0?
0. Any number multiplied by zero is zero, because zero groups of 861 contain nothing.
What is 861 × 7 and 861 × 8?
861 × 7 = 6,027 and 861 × 8 = 6,888. These two are the facts most people find hardest, so they are worth practising on their own.
Is 12,915 in the 861 times table?
Yes: 12,915 ÷ 861 = 15 with no remainder. 12,916 is not, because dividing it by 861 leaves a remainder of 1.
How do I learn the 861 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.