A multiple of is any number that can be written as
where is a whole number.
For example, let's take a look at the first few entries of the multiplication table:
The multiples of are given by the following products:
We can picture all of the multiples of using a number line:
What is the sum of the first three positive multiples of
To find the first three positive multiples of we multiply by , and , respectively:
So, the sum is
List the first three positive multiples of $7$ in ascending order.
|
a
|
|
|
b
|
|
|
c
|
|
|
d
|
|
|
e
|
List the first three positive multiples of $20$ in ascending order.
|
a
|
|
|
b
|
|
|
c
|
|
|
d
|
|
|
e
|
List the first three positive multiples of in ascending order.
To find the first three positive multiples of we multiply by , and , respectively:
So, the first three positive multiples of are
List the first three positive multiples of $13$ in ascending order.
|
a
|
|
|
b
|
|
|
c
|
|
|
d
|
|
|
e
|
List the first three positive multiples of $21$ in ascending order.
|
a
|
|
|
b
|
|
|
c
|
|
|
d
|
|
|
e
|
Which of the following numbers are multiples of
Let's start by listing the first few multiples of
Now, let's examine our numbers in turn.
is a multiple of
is a multiple of
is not a multiple of since it does not appear in our list.
Therefore, the correct answer is " and only."
Which of the following numbers are multiples of $5?$ \[ 10, \quad 16, \quad 25 \]
|
a
|
$25$ only |
|
b
|
$10$ only |
|
c
|
$10$ and $16$ only |
|
d
|
$16$ and $25$ only |
|
e
|
$10$ and $25$ only |
Which of the following numbers are multiples of $7?$ \[ 14, \quad 28, \quad 35 \]
|
a
|
$14$ and $35$ only |
|
b
|
$14,$ $28,$ and $35$ |
|
c
|
$14$ only |
|
d
|
$28$ only |
|
e
|
$35$ only |
Which of the following numbers are multiples of
We start by drawing a number line. Then, we move along our number line in jumps of starting from zero:
So, the first few multiples of are as follows:
Now, let's examine our numbers in turn.
is a multiple of
is not a multiple of since it does not appear in our list.
is a multiple of
Therefore, the correct answer is " and only."
Which of the following numbers are multiples of $45?$ \[ 80, \quad 90, \quad 145 \]
|
a
|
$80$ and $90$ only |
|
b
|
$80$ only |
|
c
|
$145$ only |
|
d
|
$90$ and $145$ only |
|
e
|
$90$ only |
Which of the following numbers are multiples of $13?$ \[ 23, \quad 26, \quad 42 \]
|
a
|
$23$ and $42$ only |
|
b
|
$23$ only |
|
c
|
$42$ only |
|
d
|
$26$ and $42$ only |
|
e
|
$26$ only |
