523 Times (523×) Multiplication Table
523 times table, 1 to 20
| 523 × 1 | 523 |
| 523 × 2 | 1,046 |
| 523 × 3 | 1,569 |
| 523 × 4 | 2,092 |
| 523 × 5 | 2,615 |
| 523 × 6 | 3,138 |
| 523 × 7 | 3,661 |
| 523 × 8 | 4,184 |
| 523 × 9 | 4,707 |
| 523 × 10 | 5,230 |
| 523 × 11 | 5,753 |
| 523 × 12 | 6,276 |
| 523 × 13 | 6,799 |
| 523 × 14 | 7,322 |
| 523 × 15 | 7,845 |
| 523 × 16 | 8,368 |
| 523 × 17 | 8,891 |
| 523 × 18 | 9,414 |
| 523 × 19 | 9,937 |
| 523 × 20 | 10,460 |
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: 523 × k = 520 × k + 3 × k.
- Each answer is 523 more than the one before, so you can count on in steps of 523.
Building it from tables you already know
To multiply 523 by 9, multiply by 10 and take one 523 away: 5,230 − 523 = 4,707. To multiply by 11, multiply by 10 and add one more 523: 5,230 + 523 = 5,753. Multiplying by 4 is doubling twice: 523 → 1,046 → 2,092.
Every multiple of 523 is at least 523, so there are none below 100 and 1 below 1,000. A number is in the 523 times table exactly when it divides by 523 with no remainder.
Odd, even and the last digit
Because 523 is odd, the answers alternate between odd and even: 523 × 1 = 523 is odd, 523 × 2 = 1,046 is even, and so on. Multiplying by 10 always puts a zero on the end: 523 × 10 = 5,230, and 523 × 100 = 52,300. Multiplying by 5 is half of multiplying by 10: half of 5,230 is 2,615.
Using the 523 times table to divide
Every fact also works backwards: because 523 × 7 = 3,661, you know 3,661 ÷ 523 = 7 and 3,661 ÷ 7 = 523. Practising the table and its division facts together halves the work.
523 times table practice worksheet
- 523 × 1 = ______
- 523 × 3 = ______
- 523 × 5 = ______
- 523 × 6 = ______
- 523 × 2 = ______
- 523 × 11 = ______
- 523 × 3 = ______
- 523 × 6 = ______
- 523 × 5 = ______
- 523 × 2 = ______
- 523 × 7 = ______
- 523 × 10 = ______
Answer key
- 523
- 1,569
- 2,615
- 3,138
- 1,046
- 5,753
- 1,569
- 3,138
- 2,615
- 1,046
- 3,661
- 5,230
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 523 pencils. How many pencils are in 3 boxes?
Answer
3 × 523 = 1,569 pencils. - Tickets cost $523 each. How much do 11 tickets cost?
Answer
11 × $523 = $5,753. - 3,138 chairs are set out in rows of 523. How many rows are there?
Answer
3,138 ÷ 523 = 6 rows. - A plant grows 523 millimetres a week. How much does it grow in 12 weeks?
Answer
12 × 523 = 6,276 millimetres.
Questions
What is 523 × 12?
6,276.
What is half of 523 × 8?
523 × 8 = 4,184, and half of that is 2,092, which is 523 × 4. Halving one factor halves the answer.
What is 523 times 0?
0. Any number multiplied by zero is zero, because zero groups of 523 contain nothing.
What is 523 × 7 and 523 × 8?
523 × 7 = 3,661 and 523 × 8 = 4,184. These two are the facts most people find hardest, so they are worth practising on their own.
Is 7,845 in the 523 times table?
Yes: 7,845 ÷ 523 = 15 with no remainder. 7,846 is not, because dividing it by 523 leaves a remainder of 1.
How do I learn the 523 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.