1603 Times (1603×) Multiplication Table
1603 times table, 1 to 20
| 1603 × 1 | 1,603 |
| 1603 × 2 | 3,206 |
| 1603 × 3 | 4,809 |
| 1603 × 4 | 6,412 |
| 1603 × 5 | 8,015 |
| 1603 × 6 | 9,618 |
| 1603 × 7 | 11,221 |
| 1603 × 8 | 12,824 |
| 1603 × 9 | 14,427 |
| 1603 × 10 | 16,030 |
| 1603 × 11 | 17,633 |
| 1603 × 12 | 19,236 |
| 1603 × 13 | 20,839 |
| 1603 × 14 | 22,442 |
| 1603 × 15 | 24,045 |
| 1603 × 16 | 25,648 |
| 1603 × 17 | 27,251 |
| 1603 × 18 | 28,854 |
| 1603 × 19 | 30,457 |
| 1603 × 20 | 32,060 |
Patterns that help you remember it
- The last digits repeat in a cycle of 10: 3, 6, 9, 2, 5, 8, 1, 4, 7, 0.
- Split it into tens and ones: 1603 × k = 1600 × k + 3 × k.
- Each answer is 1603 more than the one before, so you can count on in steps of 1603.
Building it from tables you already know
To multiply 1603 by 9, multiply by 10 and take one 1603 away: 16,030 − 1603 = 14,427. To multiply by 11, multiply by 10 and add one more 1603: 16,030 + 1603 = 17,633. Multiplying by 4 is doubling twice: 1603 → 3,206 → 6,412.
Every multiple of 1603 is at least 1603, so there are none below 100 and 0 below 1,000. A number is in the 1603 times table exactly when it divides by 1603 with no remainder.
Odd, even and the last digit
Because 1603 is odd, the answers alternate between odd and even: 1603 × 1 = 1603 is odd, 1603 × 2 = 3,206 is even, and so on. Multiplying by 10 always puts a zero on the end: 1603 × 10 = 16,030, and 1603 × 100 = 160,300. Multiplying by 5 is half of multiplying by 10: half of 16,030 is 8,015.
Using the 1603 times table to divide
Every fact also works backwards: because 1603 × 7 = 11,221, you know 11,221 ÷ 1603 = 7 and 11,221 ÷ 7 = 1603. Practising the table and its division facts together halves the work.
1603 times table practice worksheet
- 1603 × 3 = ______
- 1603 × 2 = ______
- 1603 × 6 = ______
- 1603 × 2 = ______
- 1603 × 5 = ______
- 1603 × 4 = ______
- 1603 × 2 = ______
- 1603 × 4 = ______
- 1603 × 9 = ______
- 1603 × 9 = ______
- 1603 × 8 = ______
- 1603 × 12 = ______
Answer key
- 4,809
- 3,206
- 9,618
- 3,206
- 8,015
- 6,412
- 3,206
- 6,412
- 14,427
- 14,427
- 12,824
- 19,236
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 1603 pencils. How many pencils are in 8 boxes?
Answer
8 × 1603 = 12,824 pencils. - Tickets cost $1603 each. How much do 8 tickets cost?
Answer
8 × $1603 = $12,824. - 8,015 chairs are set out in rows of 1603. How many rows are there?
Answer
8,015 ÷ 1603 = 5 rows. - A plant grows 1603 millimetres a week. How much does it grow in 9 weeks?
Answer
9 × 1603 = 14,427 millimetres.
Questions
What is 1603 × 12?
19,236.
What is half of 1603 × 8?
1603 × 8 = 12,824, and half of that is 6,412, which is 1603 × 4. Halving one factor halves the answer.
What is 1603 times 0?
0. Any number multiplied by zero is zero, because zero groups of 1603 contain nothing.
What is 1603 × 7 and 1603 × 8?
1603 × 7 = 11,221 and 1603 × 8 = 12,824. These two are the facts most people find hardest, so they are worth practising on their own.
Is 24,045 in the 1603 times table?
Yes: 24,045 ÷ 1603 = 15 with no remainder. 24,046 is not, because dividing it by 1603 leaves a remainder of 1.
How do I learn the 1603 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.