398 Times (398×) Multiplication Table
398 times table, 1 to 20
| 398 × 1 | 398 |
| 398 × 2 | 796 |
| 398 × 3 | 1,194 |
| 398 × 4 | 1,592 |
| 398 × 5 | 1,990 |
| 398 × 6 | 2,388 |
| 398 × 7 | 2,786 |
| 398 × 8 | 3,184 |
| 398 × 9 | 3,582 |
| 398 × 10 | 3,980 |
| 398 × 11 | 4,378 |
| 398 × 12 | 4,776 |
| 398 × 13 | 5,174 |
| 398 × 14 | 5,572 |
| 398 × 15 | 5,970 |
| 398 × 16 | 6,368 |
| 398 × 17 | 6,766 |
| 398 × 18 | 7,164 |
| 398 × 19 | 7,562 |
| 398 × 20 | 7,960 |
Patterns that help you remember it
- The last digits repeat in a cycle of 5: 8, 6, 4, 2, 0.
- Every answer is even, because 398 is even.
- Split it into tens and ones: 398 × k = 390 × k + 8 × k.
- Each answer is 398 more than the one before, so you can count on in steps of 398.
Building it from tables you already know
Every answer in the 398 times table is double the answer in the 199 times table: 199 × 6 = 1,194, so 398 × 6 = 2,388. To multiply 398 by 9, multiply by 10 and take one 398 away: 3,980 − 398 = 3,582. To multiply by 11, multiply by 10 and add one more 398: 3,980 + 398 = 4,378. Multiplying by 4 is doubling twice: 398 → 796 → 1,592.
Every multiple of 398 is at least 398, so there are none below 100 and 2 below 1,000. A number is in the 398 times table exactly when it divides by 398 with no remainder.
Odd, even and the last digit
Because 398 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: 398 × 10 = 3,980, and 398 × 100 = 39,800. Multiplying by 5 is half of multiplying by 10: half of 3,980 is 1,990.
Using the 398 times table to divide
Every fact also works backwards: because 398 × 7 = 2,786, you know 2,786 ÷ 398 = 7 and 2,786 ÷ 7 = 398. Practising the table and its division facts together halves the work.
398 times table practice worksheet
- 398 × 4 = ______
- 398 × 3 = ______
- 398 × 2 = ______
- 398 × 9 = ______
- 398 × 3 = ______
- 398 × 11 = ______
- 398 × 11 = ______
- 398 × 3 = ______
- 398 × 6 = ______
- 398 × 5 = ______
- 398 × 10 = ______
- 398 × 3 = ______
Answer key
- 1,592
- 1,194
- 796
- 3,582
- 1,194
- 4,378
- 4,378
- 1,194
- 2,388
- 1,990
- 3,980
- 1,194
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 398 pencils. How many pencils are in 4 boxes?
Answer
4 × 398 = 1,592 pencils. - Tickets cost $398 each. How much do 12 tickets cost?
Answer
12 × $398 = $4,776. - 2,786 chairs are set out in rows of 398. How many rows are there?
Answer
2,786 ÷ 398 = 7 rows. - A plant grows 398 millimetres a week. How much does it grow in 12 weeks?
Answer
12 × 398 = 4,776 millimetres.
Questions
What is 398 × 12?
4,776.
What is half of 398 × 8?
398 × 8 = 3,184, and half of that is 1,592, which is 398 × 4. Halving one factor halves the answer.
What is 398 times 0?
0. Any number multiplied by zero is zero, because zero groups of 398 contain nothing.
What is 398 × 7 and 398 × 8?
398 × 7 = 2,786 and 398 × 8 = 3,184. These two are the facts most people find hardest, so they are worth practising on their own.
Is 5,970 in the 398 times table?
Yes: 5,970 ÷ 398 = 15 with no remainder. 5,971 is not, because dividing it by 398 leaves a remainder of 1.
How do I learn the 398 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.