What two numbers multiply to 48?
Understand the Problem
The question is asking for two numbers whose product equals 48. To solve it, we will look for pairs of factors of 48.
Answer
The pairs of numbers are $(1, 48)$, $(2, 24)$, $(3, 16)$, $(4, 12)$, $(6, 8)$ and their negatives.
Answer for screen readers
The pairs of numbers whose product equals $48$ are:
$(1, 48)$, $(2, 24)$, $(3, 16)$, $(4, 12)$, $(6, 8)$ and their negative counterparts:
$(-1, -48)$, $(-2, -24)$, $(-3, -16)$, $(-4, -12)$, $(-6, -8)$.
Steps to Solve
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Identify the Product
The problem states that we need to find two numbers whose product equals $48$. -
List the Factors of 48
To find pairs of factors, we list all pairs of integers that multiply together to give $48$.
The factors of $48$ are:
$1 \times 48$
$2 \times 24$
$3 \times 16$
$4 \times 12$
$6 \times 8$ -
Write Down the Factor Pairs
Now we can identify the pairs:
$(1, 48)$
$(2, 24)$
$(3, 16)$
$(4, 12)$
$(6, 8)$ -
Consider Negative Factors
Remember that the product of two negative numbers also gives a positive number. Thus we can also include:
$(-1) \times (-48)$
$(-2) \times (-24)$
$(-3) \times (-16)$
$(-4) \times (-12)$
$(-6) \times (-8)$ -
Summarize the Factor Pairs
In total, the factor pairs for $48$ are:
$(1, 48)$, $(2, 24)$, $(3, 16)$, $(4, 12)$, $(6, 8)$, and their negatives.
The pairs of numbers whose product equals $48$ are:
$(1, 48)$, $(2, 24)$, $(3, 16)$, $(4, 12)$, $(6, 8)$ and their negative counterparts:
$(-1, -48)$, $(-2, -24)$, $(-3, -16)$, $(-4, -12)$, $(-6, -8)$.
More Information
The number $48$ is the product of multiple factors, making it a composite number with several pairs. Understanding factors is an important part of number theory and helps in various math applications.
Tips
- Forgetting to include negative factors when looking for products that result in the same positive number.
- Not checking all possible pairs effectively.
