1945 Times (1945×) Multiplication Table
1945 times table, 1 to 20
| 1945 × 1 | 1,945 |
| 1945 × 2 | 3,890 |
| 1945 × 3 | 5,835 |
| 1945 × 4 | 7,780 |
| 1945 × 5 | 9,725 |
| 1945 × 6 | 11,670 |
| 1945 × 7 | 13,615 |
| 1945 × 8 | 15,560 |
| 1945 × 9 | 17,505 |
| 1945 × 10 | 19,450 |
| 1945 × 11 | 21,395 |
| 1945 × 12 | 23,340 |
| 1945 × 13 | 25,285 |
| 1945 × 14 | 27,230 |
| 1945 × 15 | 29,175 |
| 1945 × 16 | 31,120 |
| 1945 × 17 | 33,065 |
| 1945 × 18 | 35,010 |
| 1945 × 19 | 36,955 |
| 1945 × 20 | 38,900 |
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: 1945 × k = 1940 × k + 5 × k.
- Each answer is 1945 more than the one before, so you can count on in steps of 1945.
Building it from tables you already know
To multiply 1945 by 9, multiply by 10 and take one 1945 away: 19,450 − 1945 = 17,505. To multiply by 11, multiply by 10 and add one more 1945: 19,450 + 1945 = 21,395. Multiplying by 4 is doubling twice: 1945 → 3,890 → 7,780.
Every multiple of 1945 is at least 1945, so there are none below 100 and 0 below 1,000. A number is in the 1945 times table exactly when it divides by 1945 with no remainder.
Odd, even and the last digit
Because 1945 is odd, the answers alternate between odd and even: 1945 × 1 = 1945 is odd, 1945 × 2 = 3,890 is even, and so on. Multiplying by 10 always puts a zero on the end: 1945 × 10 = 19,450, and 1945 × 100 = 194,500. Multiplying by 5 is half of multiplying by 10: half of 19,450 is 9,725.
Using the 1945 times table to divide
Every fact also works backwards: because 1945 × 7 = 13,615, you know 13,615 ÷ 1945 = 7 and 13,615 ÷ 7 = 1945. Practising the table and its division facts together halves the work.
1945 times table practice worksheet
- 1945 × 11 = ______
- 1945 × 4 = ______
- 1945 × 11 = ______
- 1945 × 12 = ______
- 1945 × 9 = ______
- 1945 × 7 = ______
- 1945 × 2 = ______
- 1945 × 8 = ______
- 1945 × 8 = ______
- 1945 × 4 = ______
- 1945 × 7 = ______
- 1945 × 8 = ______
Answer key
- 21,395
- 7,780
- 21,395
- 23,340
- 17,505
- 13,615
- 3,890
- 15,560
- 15,560
- 7,780
- 13,615
- 15,560
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 1945 pencils. How many pencils are in 9 boxes?
Answer
9 × 1945 = 17,505 pencils. - Tickets cost $1945 each. How much do 6 tickets cost?
Answer
6 × $1945 = $11,670. - 5,835 chairs are set out in rows of 1945. How many rows are there?
Answer
5,835 ÷ 1945 = 3 rows. - A plant grows 1945 millimetres a week. How much does it grow in 6 weeks?
Answer
6 × 1945 = 11,670 millimetres.
Questions
What is 1945 × 12?
23,340.
What is half of 1945 × 8?
1945 × 8 = 15,560, and half of that is 7,780, which is 1945 × 4. Halving one factor halves the answer.
What is 1945 times 0?
0. Any number multiplied by zero is zero, because zero groups of 1945 contain nothing.
What is 1945 × 7 and 1945 × 8?
1945 × 7 = 13,615 and 1945 × 8 = 15,560. These two are the facts most people find hardest, so they are worth practising on their own.
Is 29,175 in the 1945 times table?
Yes: 29,175 ÷ 1945 = 15 with no remainder. 29,176 is not, because dividing it by 1945 leaves a remainder of 1.
How do I learn the 1945 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.