What numbers multiply to 18?
Understand the Problem
The question is asking to find pairs of numbers that, when multiplied together, result in the number 18. This typically involves identifying factors of 18.
Answer
The pairs of numbers are $(1, 18), (2, 9), (3, 6), (-1, -18), (-2, -9), (-3, -6)$.
Answer for screen readers
The pairs of numbers that multiply together to yield 18 are:
$(1, 18), (2, 9), (3, 6), (-1, -18), (-2, -9), (-3, -6)$.
Steps to Solve
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Identify the number we're working with We need to find pairs of numbers that multiply to 18.
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List the factors of 18 To do this, we find which numbers can be multiplied together to get 18.
Starting from 1 and going up to 18, we check each integer:
- $1 \times 18 = 18$
- $2 \times 9 = 18$
- $3 \times 6 = 18$
So, the pairs of factors are:
- $(1, 18)$
- $(2, 9)$
- $(3, 6)$
- Include negative pairs Since we are looking for all possible pairs, we should also consider negative numbers:
- $(-1) \times (-18) = 18$
- $(-2) \times (-9) = 18$
- $(-3) \times (-6) = 18$
Thus, our full set of pairs includes:
- $(1, 18), (2, 9), (3, 6), (-1, -18), (-2, -9), (-3, -6)$
The pairs of numbers that multiply together to yield 18 are:
$(1, 18), (2, 9), (3, 6), (-1, -18), (-2, -9), (-3, -6)$.
More Information
The factors of 18 have real-life applications, such as when dividing items evenly among groups. Understanding factors helps in simplifying fractions and solving equations.
Tips
A common mistake is not considering negative factors, which are also valid since multiplying two negative numbers gives a positive product. Always check for both positive and negative pairs.
