Multiples of 3
The 3 times table, as a list you can count on through, with the patterns that help you spot a multiple of 3.
The answer
The first 12 multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33 and 36.
The first 12 multiples of 3
| Fact | Multiple |
|---|---|
| 3 × 1 | 3 |
| 3 × 2 | 6 |
| 3 × 3 | 9 |
| 3 × 4 | 12 |
| 3 × 5 | 15 |
| 3 × 6 | 18 |
| 3 × 7 | 21 |
| 3 × 8 | 24 |
| 3 × 9 | 27 |
| 3 × 10 | 30 |
| 3 × 11 | 33 |
| 3 × 12 | 36 |
Multiples of 3 up to 100
There are 33 multiples of 3 from 1 to 100: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96 and 99.
There are 33 multiples of 3 up to 100, so they are spread out across the square with 2 numbers between each one.
Patterns that help
The last digits go 3, 6, 9, 2, 5, 8, 1, 4, 7, 0 and then repeat. Every digit from 0 to 9 appears once before the pattern repeats.
3 is odd, so its multiples go odd, even, odd, even: 3, 6, 9, 12.
A quick check: Add up the digits. If the total is in the 3 times table, the number is a multiple of 3. For 57, 5 + 7 = 12, and 12 is a multiple of 3, so 57 is too (3 × 19 = 57).
Building the list from facts you know: Double the number, then add one more lot of it: 3 × 8 is 16 + 8, which is 24.
3 is a prime number, so its only factors are 1 and 3.
Practise the 3 times table
The multiples of 3 are the 3 times table. Three practice questions first, then all twelve facts in a random order, with six seconds each and a three-second pause between them. Type the answer or tap the keypad.
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More numbers
See the 3 times table with its patterns and the facts children find hardest.
Questions parents ask
What is the lowest common multiple of 3 and 4?
12. It is the first number in both the 3 and the 4 times tables. After it, they meet every 12: 12, 24 and 36 are all multiples of both.
What is the 20th multiple of 3?
60, because 3 × 20 = 60. The 50th is 150 and the 100th is 300.
How many multiples of 3 are there up to 1000?
333. The biggest is 3 × 333 = 999, and the next, 1002, is over 1000.
Number facts are the base of 11+ maths
Factors, multiples, primes and square numbers come up all over 11+ maths, from simplifying fractions to ratio. The free diagnostic checks maths, English and both kinds of reasoning, and shows what to practise next. No card is required.