Multiples
A number, a, is a multiple of another number, b, when the result of multiplying it is another number, c.
a = b · c
18 is a multiple of two, since it is the result of multiplying 2 by 9.
18 = 2 · 9
A natural multiple is obtained when a natural number is multiplyed by another natural number.
Multiples of 2
| 2 · 0 = 0 | 2 · 1 = 2 | 2 · 2 = 4 | 2 · 3 = 6 | 2 · 4 = 8 |
| 2 · 5 = 10 | 2 · 6 = 12 | 2 · 7 = 14 | 2 · 8 = 16 | 2 · 9 = 18 |
Multiples of 3
| 3 · 0 = 0 | 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 |
Multiples of 4
| 4 · 0 = 0 | 4 · 1 = 4 | 4 · 2 = 8 | 4 · 3 = 12 | 4 · 4 = 16 |
| 4 · 5 = 20 | 4 · 6 = 24 | 4 · 7 = 28 | 4 · 8 = 32 | 4 · 9 = 36 |
Multiples of 5
| 5 · 0 = 0 | 5 · 1 = 5 | 5 · 2 = 10 | 5 · 3 = 15 | 5 · 4 = 20 |
| 5 · 5 = 25 | 5 · 6 = 30 | 5 · 7 = 35 | 5 · 8 = 40 | 5 · 9 = 45 |
Properties of the Multiples of a Number
1 Any number, except 0, is a multiple of itself and one.
2 Zero is a multiple of all numbers.
3Any number, except zero, has infinite multiples.
4 If a number, a, is a multiple of b, the division between a and b is exact.
5 The sum of several multiples of a number is another multiple of that number.
6 The difference of two multiples of a number is another multiple of that number.
7If a number is a multiple of another, and this number is a multiple of a third one, the first number is a multiple of the third one.
8 If a number is a multiple of another, all the multiples of the first number are also multiples of the second.
