A number is a factor of another number if it divides the number with no remainder.
Let's consider some of the factors of
- is a factor of because divides with no remainder:
- However, is not a factor of because it's not possible to group into s with no remainder:
Using the diagram above, determine which of the following numbers is a factor of
A number is a factor of another number if it divides the number with no remainder.
The rectangular array in the diagram has a length of a width of and dots in total.
The diagram tells us that we can group into groups of with no remainder. Therefore, and are factors of
From the given options, the correct answer is
Using the diagram above, determine which of the following numbers is a factor of $14.$
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a
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$7$ |
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b
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$9$ |
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c
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$3$ |
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d
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$4$ |
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e
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$5$ |
Using the diagram above, determine which of the following numbers is a factor of $18.$
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a
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$5$ |
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b
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$8$ |
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c
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$7$ |
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d
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$6$ |
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e
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$4$ |
It's important to recognize that the factors of a whole number always include the number itself, and
Let's consider some more factors of
- is a factor of because can be grouped into s with no remainder:
- is a factor of because can be grouped into s with no remainder:
Which of the following numbers is a factor of
A number is a factor of another number if it divides the number with no remainder.
Of the given numbers, only divides with no remainder.
The other numbers are not factors of For example, is not a factor of because it's not possible to group into s with no remainder:
Likewise, is not a factor of because it's not possible to group into s with no remainder:
Therefore, the correct answer is
Which of the following numbers is a factor of $15?$
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a
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$6$ |
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b
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$3$ |
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c
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$7$ |
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d
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$4$ |
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e
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$2$ |
Which of the following numbers is a factor of $20?$
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a
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$8$ |
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b
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$5$ |
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c
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$6$ |
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d
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$3$ |
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e
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$7$ |
Two numbers form a factor pair of another number if they multiply to give that number.
Let's list all of the factor pairs of
and is a factor pair of because
and is a factor pair of because
and is a factor pair of because
There are no more factor pairs. So, has factor pairs in total.
When counting the number of factor pairs, we should only count each pair once. We do not get another factor pair by swapping the order of the factors. This means that, for example, the factor pair and is the same as the factor pair and
To check whether two numbers form a factor pair of a third number, we multiply them. Let's see an example.
Which of the following are factor pairs of
- and
- and
- and
Two numbers form a factor pair of another number if they multiply to give that number.
For example, and is a factor pair of because
With that in mind, let's examine each pair:
and is a factor pair of because
and is not a factor pair of because
and is a factor pair of because
Therefore, the correct answer is "I and III only."
Note: The symbol means "not equal to."
Which of the following are factor pairs of $22?$
- $3$ and $7$
- $4$ and $5$
- $2$ and $11$
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a
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I, II, and III |
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b
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I and II only |
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c
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III only |
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d
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II only |
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e
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II and III only |
Which of the following are factor pairs of $30?$
- $15$ and $2$
- $4$ and $5$
- $3$ and $10$
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a
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I and III only |
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b
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II only |
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c
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I only |
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d
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III only |
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e
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I and II only |
The factors of from smallest to largest, are shown in the list below. Find the missing factors.
We can express as a product of factor pairs as follows:
Therefore, the factors of are
The factors of $21,$ from smallest to largest, are shown in the list below. Find the missing factors.
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a
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b
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c
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d
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e
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The factors of $24,$ from smallest to largest, are shown in the list below. Find the missing factors.
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a
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b
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c
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d
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e
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