378 Times (378×) Multiplication Table
378 times table, 1 to 20
| 378 × 1 | 378 |
| 378 × 2 | 756 |
| 378 × 3 | 1,134 |
| 378 × 4 | 1,512 |
| 378 × 5 | 1,890 |
| 378 × 6 | 2,268 |
| 378 × 7 | 2,646 |
| 378 × 8 | 3,024 |
| 378 × 9 | 3,402 |
| 378 × 10 | 3,780 |
| 378 × 11 | 4,158 |
| 378 × 12 | 4,536 |
| 378 × 13 | 4,914 |
| 378 × 14 | 5,292 |
| 378 × 15 | 5,670 |
| 378 × 16 | 6,048 |
| 378 × 17 | 6,426 |
| 378 × 18 | 6,804 |
| 378 × 19 | 7,182 |
| 378 × 20 | 7,560 |
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 378 is even.
- The digits of every answer add up to a multiple of 9.
- Split it into tens and ones: 378 × k = 370 × k + 8 × k.
- Each answer is 378 more than the one before, so you can count on in steps of 378.
Building it from tables you already know
Every answer in the 378 times table is double the answer in the 189 times table: 189 × 6 = 1,134, so 378 × 6 = 2,268. To multiply 378 by 9, multiply by 10 and take one 378 away: 3,780 − 378 = 3,402. To multiply by 11, multiply by 10 and add one more 378: 3,780 + 378 = 4,158. Multiplying by 4 is doubling twice: 378 → 756 → 1,512.
Every multiple of 378 is at least 378, so there are none below 100 and 2 below 1,000. A number is in the 378 times table exactly when it divides by 378 with no remainder.
Odd, even and the last digit
Because 378 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: 378 × 10 = 3,780, and 378 × 100 = 37,800. Multiplying by 5 is half of multiplying by 10: half of 3,780 is 1,890.
Using the 378 times table to divide
Every fact also works backwards: because 378 × 7 = 2,646, you know 2,646 ÷ 378 = 7 and 2,646 ÷ 7 = 378. Practising the table and its division facts together halves the work.
378 times table practice worksheet
- 378 × 3 = ______
- 378 × 3 = ______
- 378 × 4 = ______
- 378 × 12 = ______
- 378 × 11 = ______
- 378 × 10 = ______
- 378 × 7 = ______
- 378 × 5 = ______
- 378 × 12 = ______
- 378 × 6 = ______
- 378 × 7 = ______
- 378 × 10 = ______
Answer key
- 1,134
- 1,134
- 1,512
- 4,536
- 4,158
- 3,780
- 2,646
- 1,890
- 4,536
- 2,268
- 2,646
- 3,780
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 378 pencils. How many pencils are in 3 boxes?
Answer
3 × 378 = 1,134 pencils. - Tickets cost $378 each. How much do 10 tickets cost?
Answer
10 × $378 = $3,780. - 2,646 chairs are set out in rows of 378. How many rows are there?
Answer
2,646 ÷ 378 = 7 rows. - A plant grows 378 millimetres a week. How much does it grow in 9 weeks?
Answer
9 × 378 = 3,402 millimetres.
Questions
What is 378 × 12?
4,536.
What is half of 378 × 8?
378 × 8 = 3,024, and half of that is 1,512, which is 378 × 4. Halving one factor halves the answer.
What is 378 times 0?
0. Any number multiplied by zero is zero, because zero groups of 378 contain nothing.
What is 378 × 7 and 378 × 8?
378 × 7 = 2,646 and 378 × 8 = 3,024. These two are the facts most people find hardest, so they are worth practising on their own.
Is 5,670 in the 378 times table?
Yes: 5,670 ÷ 378 = 15 with no remainder. 5,671 is not, because dividing it by 378 leaves a remainder of 1.
How do I learn the 378 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.