1604 Times (1604×) Multiplication Table
1604 times table, 1 to 20
| 1604 × 1 | 1,604 |
| 1604 × 2 | 3,208 |
| 1604 × 3 | 4,812 |
| 1604 × 4 | 6,416 |
| 1604 × 5 | 8,020 |
| 1604 × 6 | 9,624 |
| 1604 × 7 | 11,228 |
| 1604 × 8 | 12,832 |
| 1604 × 9 | 14,436 |
| 1604 × 10 | 16,040 |
| 1604 × 11 | 17,644 |
| 1604 × 12 | 19,248 |
| 1604 × 13 | 20,852 |
| 1604 × 14 | 22,456 |
| 1604 × 15 | 24,060 |
| 1604 × 16 | 25,664 |
| 1604 × 17 | 27,268 |
| 1604 × 18 | 28,872 |
| 1604 × 19 | 30,476 |
| 1604 × 20 | 32,080 |
Patterns that help you remember it
- The last digits repeat in a cycle of 5: 4, 8, 2, 6, 0.
- Every answer is even, because 1604 is even.
- Split it into tens and ones: 1604 × k = 1600 × k + 4 × k.
- Each answer is 1604 more than the one before, so you can count on in steps of 1604.
Building it from tables you already know
Every answer in the 1604 times table is double the answer in the 802 times table: 802 × 6 = 4,812, so 1604 × 6 = 9,624. To multiply 1604 by 9, multiply by 10 and take one 1604 away: 16,040 − 1604 = 14,436. To multiply by 11, multiply by 10 and add one more 1604: 16,040 + 1604 = 17,644. Multiplying by 4 is doubling twice: 1604 → 3,208 → 6,416.
Every multiple of 1604 is at least 1604, so there are none below 100 and 0 below 1,000. A number is in the 1604 times table exactly when it divides by 1604 with no remainder.
Odd, even and the last digit
Because 1604 is even, every answer in its table is even, which is a quick way to catch a wrong answer. Multiplying by 10 always puts a zero on the end: 1604 × 10 = 16,040, and 1604 × 100 = 160,400. Multiplying by 5 is half of multiplying by 10: half of 16,040 is 8,020.
Using the 1604 times table to divide
Every fact also works backwards: because 1604 × 7 = 11,228, you know 11,228 ÷ 1604 = 7 and 11,228 ÷ 7 = 1604. Practising the table and its division facts together halves the work.
1604 times table practice worksheet
- 1604 × 3 = ______
- 1604 × 7 = ______
- 1604 × 5 = ______
- 1604 × 12 = ______
- 1604 × 9 = ______
- 1604 × 12 = ______
- 1604 × 9 = ______
- 1604 × 8 = ______
- 1604 × 11 = ______
- 1604 × 1 = ______
- 1604 × 10 = ______
- 1604 × 9 = ______
Answer key
- 4,812
- 11,228
- 8,020
- 19,248
- 14,436
- 19,248
- 14,436
- 12,832
- 17,644
- 1,604
- 16,040
- 14,436
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 1604 pencils. How many pencils are in 7 boxes?
Answer
7 × 1604 = 11,228 pencils. - Tickets cost $1604 each. How much do 9 tickets cost?
Answer
9 × $1604 = $14,436. - 12,832 chairs are set out in rows of 1604. How many rows are there?
Answer
12,832 ÷ 1604 = 8 rows. - A plant grows 1604 millimetres a week. How much does it grow in 11 weeks?
Answer
11 × 1604 = 17,644 millimetres.
Questions
What is 1604 × 12?
19,248.
What is half of 1604 × 8?
1604 × 8 = 12,832, and half of that is 6,416, which is 1604 × 4. Halving one factor halves the answer.
What is 1604 times 0?
0. Any number multiplied by zero is zero, because zero groups of 1604 contain nothing.
What is 1604 × 7 and 1604 × 8?
1604 × 7 = 11,228 and 1604 × 8 = 12,832. These two are the facts most people find hardest, so they are worth practising on their own.
Is 24,060 in the 1604 times table?
Yes: 24,060 ÷ 1604 = 15 with no remainder. 24,061 is not, because dividing it by 1604 leaves a remainder of 1.
How do I learn the 1604 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.