Every whole number is a multiple of its factors.
To demonstrate, let's write down the factor pairs of
Therefore, the factors of are as follows:
Each of these factors has as a multiple:
The multiples of are
The multiples of are
The multiples of are
The multiples of are
Whenever we write down a statement regarding factors, we can always write down a related statement about multiples.
For example, the following two statements are equivalent (mean the same thing):
is a multiple of
is a factor of
Which of the following numbers has as a multiple?
Every whole number is a multiple of its factors. For example, the following two statements are equivalent (mean the same thing):
is a multiple of
is a factor of
Notice that is prime. Therefore, it has only two factors, namely and itself:
From the given options, the only number that is in our list above is
Which of the following numbers does not have $10$ as a multiple?
a
|
$1$ |
b
|
$2$ |
c
|
$4$ |
d
|
$5$ |
e
|
$10$ |
Which of the following numbers has $17$ as a multiple?
a
|
$34$ |
b
|
$7$ |
c
|
$9$ |
d
|
$3$ |
e
|
$17$ |
Which of the following numbers does not have as a multiple?
Every whole number is a multiple of its factors. For example, the following two statements are equivalent (mean the same thing):
is a multiple of
is a factor of
First, we write down the factor pairs of
Therefore, the factors of are as follows:
Each of these numbers has as a multiple.
From the given options, the only number that is not on our list above is
Which of the following numbers does not have $24$ as a multiple?
a
|
$9$ |
b
|
$24$ |
c
|
$3$ |
d
|
$8$ |
e
|
$6$ |
Which of the following numbers does not have $36$ as a multiple?
a
|
$12$ |
b
|
$3$ |
c
|
$7$ |
d
|
$9$ |
e
|
$6$ |