The multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, and so on — every number you get by multiplying 3 by a whole number. The list never ends.
Below you will find the full multiplication table for 3 up to 100×, the complete list of multiples up to 1,000, a calculator that checks any number for you, and the factors and patterns behind them.
Type any whole number and the answer appears instantly.
Divides the number by 3 and tells you whether it goes in exactly.
Every highlighted square below is a multiple of 3. Seeing them shaded in makes the spacing obvious: each one sits exactly 3 steps after the last.
Counting in 3s is the fastest way to reach any multiple without multiplying. Each hop below adds another 3.
The complete multiplication table for 3, from 3 × 1 to 3 × 100.
| # | Expression | Result |
|---|---|---|
| 1 | 3 × 1 | 3 |
| 2 | 3 × 2 | 6 |
| 3 | 3 × 3 | 9 |
| 4 | 3 × 4 | 12 |
| 5 | 3 × 5 | 15 |
| 6 | 3 × 6 | 18 |
| 7 | 3 × 7 | 21 |
| 8 | 3 × 8 | 24 |
| 9 | 3 × 9 | 27 |
| 10 | 3 × 10 | 30 |
| 11 | 3 × 11 | 33 |
| 12 | 3 × 12 | 36 |
| 13 | 3 × 13 | 39 |
| 14 | 3 × 14 | 42 |
| 15 | 3 × 15 | 45 |
| 16 | 3 × 16 | 48 |
| 17 | 3 × 17 | 51 |
| 18 | 3 × 18 | 54 |
| 19 | 3 × 19 | 57 |
| 20 | 3 × 20 | 60 |
| 21 | 3 × 21 | 63 |
| 22 | 3 × 22 | 66 |
| 23 | 3 × 23 | 69 |
| 24 | 3 × 24 | 72 |
| 25 | 3 × 25 | 75 |
| 26 | 3 × 26 | 78 |
| 27 | 3 × 27 | 81 |
| 28 | 3 × 28 | 84 |
| 29 | 3 × 29 | 87 |
| 30 | 3 × 30 | 90 |
| 31 | 3 × 31 | 93 |
| 32 | 3 × 32 | 96 |
| 33 | 3 × 33 | 99 |
| 34 | 3 × 34 | 102 |
| 35 | 3 × 35 | 105 |
| 36 | 3 × 36 | 108 |
| 37 | 3 × 37 | 111 |
| 38 | 3 × 38 | 114 |
| 39 | 3 × 39 | 117 |
| 40 | 3 × 40 | 120 |
| 41 | 3 × 41 | 123 |
| 42 | 3 × 42 | 126 |
| 43 | 3 × 43 | 129 |
| 44 | 3 × 44 | 132 |
| 45 | 3 × 45 | 135 |
| 46 | 3 × 46 | 138 |
| 47 | 3 × 47 | 141 |
| 48 | 3 × 48 | 144 |
| 49 | 3 × 49 | 147 |
| 50 | 3 × 50 | 150 |
| 51 | 3 × 51 | 153 |
| 52 | 3 × 52 | 156 |
| 53 | 3 × 53 | 159 |
| 54 | 3 × 54 | 162 |
| 55 | 3 × 55 | 165 |
| 56 | 3 × 56 | 168 |
| 57 | 3 × 57 | 171 |
| 58 | 3 × 58 | 174 |
| 59 | 3 × 59 | 177 |
| 60 | 3 × 60 | 180 |
| 61 | 3 × 61 | 183 |
| 62 | 3 × 62 | 186 |
| 63 | 3 × 63 | 189 |
| 64 | 3 × 64 | 192 |
| 65 | 3 × 65 | 195 |
| 66 | 3 × 66 | 198 |
| 67 | 3 × 67 | 201 |
| 68 | 3 × 68 | 204 |
| 69 | 3 × 69 | 207 |
| 70 | 3 × 70 | 210 |
| 71 | 3 × 71 | 213 |
| 72 | 3 × 72 | 216 |
| 73 | 3 × 73 | 219 |
| 74 | 3 × 74 | 222 |
| 75 | 3 × 75 | 225 |
| 76 | 3 × 76 | 228 |
| 77 | 3 × 77 | 231 |
| 78 | 3 × 78 | 234 |
| 79 | 3 × 79 | 237 |
| 80 | 3 × 80 | 240 |
| 81 | 3 × 81 | 243 |
| 82 | 3 × 82 | 246 |
| 83 | 3 × 83 | 249 |
| 84 | 3 × 84 | 252 |
| 85 | 3 × 85 | 255 |
| 86 | 3 × 86 | 258 |
| 87 | 3 × 87 | 261 |
| 88 | 3 × 88 | 264 |
| 89 | 3 × 89 | 267 |
| 90 | 3 × 90 | 270 |
| 91 | 3 × 91 | 273 |
| 92 | 3 × 92 | 276 |
| 93 | 3 × 93 | 279 |
| 94 | 3 × 94 | 282 |
| 95 | 3 × 95 | 285 |
| 96 | 3 × 96 | 288 |
| 97 | 3 × 97 | 291 |
| 98 | 3 × 98 | 294 |
| 99 | 3 × 99 | 297 |
| 100 | 3 × 100 | 300 |
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, 99
There are 33 multiples of 3 between 1 and 100.
3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, … , 993, 996, 999
That is 333 multiples of 3 below 1,000, ending at 999.
Factors are the mirror image of multiples: they divide into 3 exactly, rather than being built from it. The factors of 3 are 1, 3.
Written as pairs: 1 × 3.
Broken all the way down into primes, 3 = 3. Because it has no factors other than 1 and itself, 3 is a prime number.
The lowest common multiple (LCM) of two numbers is the smallest number that appears in both of their multiplication tables. Here is 3 paired with the numbers it is most often compared to.
| Pair | LCM | Greatest common factor | Next common multiple |
|---|---|---|---|
| 3 and 2 | 6 | 1 | 12 |
| 3 and 4 | 12 | 1 | 24 |
| 3 and 5 | 15 | 1 | 30 |
| 3 and 6 | 6 | 3 | 12 |
| 3 and 8 | 24 | 1 | 48 |
Start at 3 and keep adding 3. That gives 3, 6, 9, 12, 15, and the pattern continues for as long as you want to go. Multiplying is simply a shortcut for the same thing: 3 × 7 = 21 saves you counting seven hops one at a time.
A number is divisible by 3 when the sum of its digits is divisible by 3.
Because 3 is odd, its multiples alternate between odd and even. That alternation is a quick way to sanity-check an answer before you write it down.
The last digits repeat in a cycle of 10: 3, 6, 9, 2, 5, 8, 1, 4, 7, 0, then back to the start. Spotting that cycle is a fast way to rule out a wrong answer.
The multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, and so on. Each one is 3 multiplied by a whole number, so the list continues without end.
There are 33 multiples of 3 between 1 and 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, 99.
There are 333 multiples of 3 below 1,000. They run from 3 up to 999.
The 10th multiple of 3 is 3 × 10 = 30.
The factors of 3 are 1, 3 — 2 in total. Factors divide into 3; multiples are built out of it.
Yes. 3 is prime, because its only factors are 1 and 3 itself.
The lowest common multiple of 3 and 2 is 6. It is the first number that appears in both multiplication tables.