1405 Times (1405×) Multiplication Table
1405 times table, 1 to 20
| 1405 × 1 | 1,405 |
| 1405 × 2 | 2,810 |
| 1405 × 3 | 4,215 |
| 1405 × 4 | 5,620 |
| 1405 × 5 | 7,025 |
| 1405 × 6 | 8,430 |
| 1405 × 7 | 9,835 |
| 1405 × 8 | 11,240 |
| 1405 × 9 | 12,645 |
| 1405 × 10 | 14,050 |
| 1405 × 11 | 15,455 |
| 1405 × 12 | 16,860 |
| 1405 × 13 | 18,265 |
| 1405 × 14 | 19,670 |
| 1405 × 15 | 21,075 |
| 1405 × 16 | 22,480 |
| 1405 × 17 | 23,885 |
| 1405 × 18 | 25,290 |
| 1405 × 19 | 26,695 |
| 1405 × 20 | 28,100 |
Patterns that help you remember it
- The last digits repeat in a cycle of 2: 5, 0.
- Every answer ends in 0 or 5.
- Split it into tens and ones: 1405 × k = 1400 × k + 5 × k.
- Each answer is 1405 more than the one before, so you can count on in steps of 1405.
Building it from tables you already know
To multiply 1405 by 9, multiply by 10 and take one 1405 away: 14,050 − 1405 = 12,645. To multiply by 11, multiply by 10 and add one more 1405: 14,050 + 1405 = 15,455. Multiplying by 4 is doubling twice: 1405 → 2,810 → 5,620.
Every multiple of 1405 is at least 1405, so there are none below 100 and 0 below 1,000. A number is in the 1405 times table exactly when it divides by 1405 with no remainder.
Odd, even and the last digit
Because 1405 is odd, the answers alternate between odd and even: 1405 × 1 = 1405 is odd, 1405 × 2 = 2,810 is even, and so on. Multiplying by 10 always puts a zero on the end: 1405 × 10 = 14,050, and 1405 × 100 = 140,500. Multiplying by 5 is half of multiplying by 10: half of 14,050 is 7,025.
Using the 1405 times table to divide
Every fact also works backwards: because 1405 × 7 = 9,835, you know 9,835 ÷ 1405 = 7 and 9,835 ÷ 7 = 1405. Practising the table and its division facts together halves the work.
1405 times table practice worksheet
- 1405 × 1 = ______
- 1405 × 6 = ______
- 1405 × 6 = ______
- 1405 × 4 = ______
- 1405 × 7 = ______
- 1405 × 2 = ______
- 1405 × 7 = ______
- 1405 × 11 = ______
- 1405 × 10 = ______
- 1405 × 10 = ______
- 1405 × 7 = ______
- 1405 × 7 = ______
Answer key
- 1,405
- 8,430
- 8,430
- 5,620
- 9,835
- 2,810
- 9,835
- 15,455
- 14,050
- 14,050
- 9,835
- 9,835
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 1405 pencils. How many pencils are in 5 boxes?
Answer
5 × 1405 = 7,025 pencils. - Tickets cost $1405 each. How much do 9 tickets cost?
Answer
9 × $1405 = $12,645. - 7,025 chairs are set out in rows of 1405. How many rows are there?
Answer
7,025 ÷ 1405 = 5 rows. - A plant grows 1405 millimetres a week. How much does it grow in 7 weeks?
Answer
7 × 1405 = 9,835 millimetres.
Questions
What is 1405 × 12?
16,860.
What is half of 1405 × 8?
1405 × 8 = 11,240, and half of that is 5,620, which is 1405 × 4. Halving one factor halves the answer.
What is 1405 times 0?
0. Any number multiplied by zero is zero, because zero groups of 1405 contain nothing.
What is 1405 × 7 and 1405 × 8?
1405 × 7 = 9,835 and 1405 × 8 = 11,240. These two are the facts most people find hardest, so they are worth practising on their own.
Is 21,075 in the 1405 times table?
Yes: 21,075 ÷ 1405 = 15 with no remainder. 21,076 is not, because dividing it by 1405 leaves a remainder of 1.
How do I learn the 1405 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.