397 Times (397×) Multiplication Table
397 times table, 1 to 20
| 397 × 1 | 397 |
| 397 × 2 | 794 |
| 397 × 3 | 1,191 |
| 397 × 4 | 1,588 |
| 397 × 5 | 1,985 |
| 397 × 6 | 2,382 |
| 397 × 7 | 2,779 |
| 397 × 8 | 3,176 |
| 397 × 9 | 3,573 |
| 397 × 10 | 3,970 |
| 397 × 11 | 4,367 |
| 397 × 12 | 4,764 |
| 397 × 13 | 5,161 |
| 397 × 14 | 5,558 |
| 397 × 15 | 5,955 |
| 397 × 16 | 6,352 |
| 397 × 17 | 6,749 |
| 397 × 18 | 7,146 |
| 397 × 19 | 7,543 |
| 397 × 20 | 7,940 |
Patterns that help you remember it
- The last digits repeat in a cycle of 10: 7, 4, 1, 8, 5, 2, 9, 6, 3, 0.
- Split it into tens and ones: 397 × k = 390 × k + 7 × k.
- Each answer is 397 more than the one before, so you can count on in steps of 397.
Building it from tables you already know
To multiply 397 by 9, multiply by 10 and take one 397 away: 3,970 − 397 = 3,573. To multiply by 11, multiply by 10 and add one more 397: 3,970 + 397 = 4,367. Multiplying by 4 is doubling twice: 397 → 794 → 1,588.
Every multiple of 397 is at least 397, so there are none below 100 and 2 below 1,000. A number is in the 397 times table exactly when it divides by 397 with no remainder.
Odd, even and the last digit
Because 397 is odd, the answers alternate between odd and even: 397 × 1 = 397 is odd, 397 × 2 = 794 is even, and so on. Multiplying by 10 always puts a zero on the end: 397 × 10 = 3,970, and 397 × 100 = 39,700. Multiplying by 5 is half of multiplying by 10: half of 3,970 is 1,985.
Using the 397 times table to divide
Every fact also works backwards: because 397 × 7 = 2,779, you know 2,779 ÷ 397 = 7 and 2,779 ÷ 7 = 397. Practising the table and its division facts together halves the work.
397 times table practice worksheet
- 397 × 4 = ______
- 397 × 8 = ______
- 397 × 1 = ______
- 397 × 10 = ______
- 397 × 12 = ______
- 397 × 9 = ______
- 397 × 5 = ______
- 397 × 8 = ______
- 397 × 12 = ______
- 397 × 9 = ______
- 397 × 2 = ______
- 397 × 2 = ______
Answer key
- 1,588
- 3,176
- 397
- 3,970
- 4,764
- 3,573
- 1,985
- 3,176
- 4,764
- 3,573
- 794
- 794
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 397 pencils. How many pencils are in 4 boxes?
Answer
4 × 397 = 1,588 pencils. - Tickets cost $397 each. How much do 11 tickets cost?
Answer
11 × $397 = $4,367. - 2,779 chairs are set out in rows of 397. How many rows are there?
Answer
2,779 ÷ 397 = 7 rows. - A plant grows 397 millimetres a week. How much does it grow in 12 weeks?
Answer
12 × 397 = 4,764 millimetres.
Questions
What is 397 × 12?
4,764.
What is half of 397 × 8?
397 × 8 = 3,176, and half of that is 1,588, which is 397 × 4. Halving one factor halves the answer.
What is 397 times 0?
0. Any number multiplied by zero is zero, because zero groups of 397 contain nothing.
What is 397 × 7 and 397 × 8?
397 × 7 = 2,779 and 397 × 8 = 3,176. These two are the facts most people find hardest, so they are worth practising on their own.
Is 5,955 in the 397 times table?
Yes: 5,955 ÷ 397 = 15 with no remainder. 5,956 is not, because dividing it by 397 leaves a remainder of 1.
How do I learn the 397 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.