Multiples of 78
The first ten multiples of 78 are 78, 156, 234, 312, 390, 468, 546, 624, 702, 780.
The first 20 multiples of 78
| × | Multiple |
|---|---|
| 78 × 1 | 78 |
| 78 × 2 | 156 |
| 78 × 3 | 234 |
| 78 × 4 | 312 |
| 78 × 5 | 390 |
| 78 × 6 | 468 |
| 78 × 7 | 546 |
| 78 × 8 | 624 |
| 78 × 9 | 702 |
| 78 × 10 | 780 |
| 78 × 11 | 858 |
| 78 × 12 | 936 |
| 78 × 13 | 1,014 |
| 78 × 14 | 1,092 |
| 78 × 15 | 1,170 |
| 78 × 16 | 1,248 |
| 78 × 17 | 1,326 |
| 78 × 18 | 1,404 |
| 78 × 19 | 1,482 |
| 78 × 20 | 1,560 |
A multiple of 78 is 78 times a whole number. The list never ends; the first is 78 itself and 0 is a multiple of everything.
How to tell whether a number is a multiple of 78
- Divide by 78: if the remainder is 0, it is a multiple.
- For example 546 ÷ 78 = 7, so 546 is a multiple; 547 ÷ 78 leaves a remainder of 1, so it is not.
- Multiples of 78 are also multiples of every factor of 78: 1, 2, 3, 6, 13, 26, 39, 78.
Common multiples of 78 and its neighbours
78 and 79: the LCM is 6,162, so the common multiples are 6,162, 12,324, 18,486, … 78 and 80: the LCM is 3,120, so the common multiples are 3,120, 6,240, 9,360, …
Factors go down, multiples go up
The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78: they are at most 78 and there are 8 of them. The multiples of 78 start at 78 and go on forever. A number is a factor of its own multiples and a multiple of its own factors.
🧮 Calculator
The answer appears here, with the working in words.
✏️ Five questions, answers hidden
1. Write the first five multiples of 79.
Answer: 79, 158, 237, 316, 395
2. Is 702 a multiple of 78?
Answer: yes
3. What is the 25th multiple of 78?
Answer: 1,950
4. Find the LCM of 78 and 79.
Answer: 6,162
5. Which multiples of 78 lie between 235 and 467?
Answer: 312, 390
📚 The class this belongs to
Multiples are taught in Grade 4 in the US, Year 4 and 5 in the UK, Class 4 and 5 in CBSE and Year 4 and 5 in Australia, before LCM in the following year.
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