105 Times (105×) Multiplication Table
105 times table, 1 to 20
| 105 × 1 | 105 |
| 105 × 2 | 210 |
| 105 × 3 | 315 |
| 105 × 4 | 420 |
| 105 × 5 | 525 |
| 105 × 6 | 630 |
| 105 × 7 | 735 |
| 105 × 8 | 840 |
| 105 × 9 | 945 |
| 105 × 10 | 1,050 |
| 105 × 11 | 1,155 |
| 105 × 12 | 1,260 |
| 105 × 13 | 1,365 |
| 105 × 14 | 1,470 |
| 105 × 15 | 1,575 |
| 105 × 16 | 1,680 |
| 105 × 17 | 1,785 |
| 105 × 18 | 1,890 |
| 105 × 19 | 1,995 |
| 105 × 20 | 2,100 |
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: 105 × k = 100 × k + 5 × k.
- Each answer is 105 more than the one before, so you can count on in steps of 105.
Building it from tables you already know
To multiply 105 by 9, multiply by 10 and take one 105 away: 1,050 − 105 = 945. To multiply by 11, multiply by 10 and add one more 105: 1,050 + 105 = 1,155. Multiplying by 4 is doubling twice: 105 → 210 → 420.
Every multiple of 105 is at least 105, so there are none below 100 and 9 below 1,000. A number is in the 105 times table exactly when it divides by 105 with no remainder.
Odd, even and the last digit
Because 105 is odd, the answers alternate between odd and even: 105 × 1 = 105 is odd, 105 × 2 = 210 is even, and so on. Multiplying by 10 always puts a zero on the end: 105 × 10 = 1,050, and 105 × 100 = 10,500. Multiplying by 5 is half of multiplying by 10: half of 1,050 is 525.
Using the 105 times table to divide
Every fact also works backwards: because 105 × 7 = 735, you know 735 ÷ 105 = 7 and 735 ÷ 7 = 105. Practising the table and its division facts together halves the work.
105 times table practice worksheet
- 105 × 8 = ______
- 105 × 9 = ______
- 105 × 12 = ______
- 105 × 8 = ______
- 105 × 8 = ______
- 105 × 5 = ______
- 105 × 6 = ______
- 105 × 3 = ______
- 105 × 4 = ______
- 105 × 5 = ______
- 105 × 2 = ______
- 105 × 4 = ______
Answer key
- 840
- 945
- 1,260
- 840
- 840
- 525
- 630
- 315
- 420
- 525
- 210
- 420
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 105 pencils. How many pencils are in 8 boxes?
Answer
8 × 105 = 840 pencils. - Tickets cost $105 each. How much do 6 tickets cost?
Answer
6 × $105 = $630. - 525 chairs are set out in rows of 105. How many rows are there?
Answer
525 ÷ 105 = 5 rows. - A plant grows 105 millimetres a week. How much does it grow in 12 weeks?
Answer
12 × 105 = 1,260 millimetres.
Questions
What is 105 × 12?
1,260.
What is half of 105 × 8?
105 × 8 = 840, and half of that is 420, which is 105 × 4. Halving one factor halves the answer.
What is 105 times 0?
0. Any number multiplied by zero is zero, because zero groups of 105 contain nothing.
What is 105 × 7 and 105 × 8?
105 × 7 = 735 and 105 × 8 = 840. These two are the facts most people find hardest, so they are worth practising on their own.
Is 1,575 in the 105 times table?
Yes: 1,575 ÷ 105 = 15 with no remainder. 1,576 is not, because dividing it by 105 leaves a remainder of 1.
How do I learn the 105 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.