How can multiples and factors relate?
Multiples and factors are related in that they both involve numbers that are connected through multiplication. To understand how they relate, we first need to define what multiples and factors are.
A multiple of a number is the result of multiplying that number by another whole number. For example, the multiples of 3 are: 3, 6, 9, 12, 15, ...
A factor of a number is a number that can be divided evenly into that number without leaving a remainder. For example, the factors of 12 are: 1, 2, 3, 4, 6, 12.
Now, let's see how multiples and factors are related:
1. Every multiple of a number is also a multiple of all its factors. For example, if 12 is a multiple of 3, then it is also a multiple of 1, 2, 4, and 6 (which are factors of 12). So, the multiples of a number include all the numbers that can divide it evenly.
2. Conversely, if a number is a multiple of another number, then the factors of the second number are also factors of the first number. For example, if 12 is a multiple of 6, then the factors of 6 (which are 1, 2, 3, and 6) are also factors of 12.
In summary, multiples and factors are connected through the concept of divisibility. Multiples are the numbers that can be obtained by multiplying a given number by any whole number, while factors are the numbers that can divide a given number evenly without leaving a remainder. The multiples of a number include all the numbers that can divide it evenly, and the factors of a number are the numbers that can be multiplied together to obtain that number.