Example 1: The factors of 8 are 1, 2, 4, and 8.
8 can be written as
8 = 1 x 8
= 2 x 4
Example 2: The factors of 12 are 1, 2, 3, 4, 6, and 12.
12 can be written as
12 = 1 x 12
= 2 x 6
= 3 x 4
The number 1 is a factor of every number.
A multiple of a number is any product of that number and a counting number. The first 4 multiples of 3 are 3, 6, 9 and 12.
In general, the multiples of any number n are
1n, 2n, 3n, 4n, ...
where the last three dots mean it is continuous. Going back to the multiples of 3, we have n = 31 x 3 = 3
2 x 3 = 6
3 x 3 = 9
4 x 3 = 12
5 x n = 5n
.
.
.
If a number m is a factor of n, then n is a multiple of m. For instance, m=5 is a factor of n=15, then 15 is a multiple of 5. Let us check,
1 x 5 = 5
2 x 5 = 10
3 x 5 = 15
4 x 5 = 20
Therefore, 15 is a multiple of 5.
A number which is a multiple of 2 is an even number. Otherwise, if it is not a multiple of 2 then it is an odd number.
The product of two even numbers is even and the product of two odd numbers is odd.
Example,
2 x 8 = 16 , factors and product are even numbers
9 x 7 = 63 , all are odd numbers
